Well, the choices for you then would be:
Thermal Radiation
Kinetics
Radiation Emission
Dark Miasma
Storm Summoning
Right, let's have a look at these see how they match up to your needs;
Thermal Radiation:
Can it solo? Yes. However, it's soloing tools are only available much later on. Up until 35, you only have 1 power that you can use on yourself, your AoE heal.
Is it teams friendly? Very. As mentioned, most of the powers in the set are team based - you have a single target heal, 2 resistance shields, a resurrect, a mez protection power and a +accuracy +damage power. You also get some great debuffs. Teams will love you.
Summary - the best "healing set" (some people hate the term healer in this game, myself included. Buffs & Debuffs are far, far more useful) on villains along with some decent debuffs and great buffs. However, you will likely feel like a buffbot/healbot at times and soloing will be a little difficult before 35. You'll spend a few seconds every four minutes re-applying your 2 shields and using Forge (+accuaracy +damage ally buff) when it recharges.
Kinetics:
Can it solo? Yes. With 2 +damage powers, a great heal, an endurance drain/recovery power, 2 built-in travel powers and a +recharge power, it's a great set to solo with and a very popular secondary for farmers. However, some people can find it a little lacking until lvl 38.
Is it team friendly? Very. Those 2 +damage powers also affect your team, as do the heal and endurance powers. You also have a decent mez protection power and +recharge & +recovery power. Teams will like you before 38, then adore you afterwards.
Summary - one of my favourite sets, it has the 2nd best AoE heal in the game, but it requires a tohit check so it will miss occassionally. Some people dislike Speed Boost (the +recharge & +recovery buff power) as it also increases their run speed to Super Speed levels. Soloing pre-38 can be a pain for some people. You'll spend a few seconds every 2 minutes re-applying Speed Boost.
Radiation Emission:
Can it solo? Yes. Probably the best of the bunch for solo play, the two debuff toggles you get (-accuracy & -defense and -damage & -resistance) will make life easier, safer and faster. With a few other tools, including a +damage, +recharge & +recovery PBAoE buff and an AoE heal, soloing should be a breeze, even if it does take a little more thought and endurance management.
Is it team friendly? Very. Whether it's to debuff an AV into the ground or just mince though masses of minions, Radiation Emission has the tols for the job. Throw in the 2nd best ally resurrect power in the game, a power that debuffs enemies around a dead teammate, a PBAoE hold toggle and a PBAoE hold attack (sans the damage), there's soem great tools. Teams will worship you.
Summary - probably your best choice, as it doesn't have any single target ally buffs, so you don't have to worry about being a buffbot. It's great solo and in teams so you get the best of both teams. However, the AoE heal is a little lacking, although you'll come to realise that, with everything Radiation Emisison has to offer, you'll forget you ever needed to heal.
Dark Miasma:
Never tried it myself, so I'll just put out what I know - it has the best AoE heal in the game, although it requires a tohit check like the one in Kineteics. It also has the best ally resurrect in the game - it's AoE! Fear is handy and there's a little of that in here.
Storm Summoning:
Again, not a set I've played myself but here's what I know. The single target heal isn't great, but it does recharge rather quickly and has some nice mez proetection built-in. There are a few pseudo-pets which lead to a lot of control and damage mitigation.
Hope that helps, my eyes hurt now 
@Jay Leon Hart
Kerensky: this has nothing to do with underwear
Zwillinger: I put on my robe and wizard hat...
Synapse: I had to resist starting my last post off with "Yo dawg!"
Ok I'll add my 2 peneth worth here as I myself just made a healbot out of a rad. The below is a strictly team spec but can solo if a bit slowly now due to the lesser ranged attack chain - you could easily remove tp and team tp for something like power bolt and dark embrace from ghost widow. This also includes the IOs I'm using as well.
Villain Plan by Mids' Villain Designer 1.40
http://www.cohplanner.com/
Level 50 Magic Corruptor
Primary Power Set: Energy Blast
Secondary Power Set: Radiation Emission
Power Pool: Fitness
Power Pool: Flight
Power Pool: Teleportation
Power Pool: Medicine
Villain Profile:
------------
Level 1: Power Blast
(A) Devastation - Damage/Endurance: Level 39
(3) Devastation - Damage/Recharge: Level 39
(3) Devastation - Accuracy/Damage/Recharge: Level 39
(5) Devastation - Accuracy/Damage/Endurance/Recharge: Level 39
(31) Decimation - Accuracy/Damage: Level 39
(45) Decimation - Chance of Build Up: Level 39
Level 1: Radiant Aura
(A) Harmonized Healing - Heal/Endurance: Level 39
(5) Harmonized Healing - Endurance/Recharge: Level 39
(7) Harmonized Healing - Heal/Recharge: Level 39
(7) Harmonized Healing - Heal/Endurance/Recharge: Level 39
(9) Harmonized Healing - Heal: Level 39
(9) Harmonized Healing - Endurance: Level 39
Level 2: Energy Torrent
(A) Kinetic Crash - Damage/Knockback: Level 39
(11) Kinetic Crash - Accuracy/Knockback: Level 39
(11) Kinetic Crash - Recharge/Knockback: Level 39
(13) Kinetic Crash - Endurance/Knockback: Level 39
(13) Positron's Blast - Accuracy/Damage: Level 39
(15) Positron's Blast - Damage/Endurance: Level 39
Level 4: Accelerate Metabolism
(A) Endurance Modification IO: Level 40
(15) Endurance Modification IO: Level 40
(17) Endurance Modification IO: Level 40
(17) Recharge Reduction IO: Level 40
(19) Recharge Reduction IO: Level 40
Level 6: Power Burst
(A) Thunderstrike - Accuracy/Damage: Level 39
(19) Thunderstrike - Damage/Endurance: Level 39
(21) Thunderstrike - Damage/Recharge: Level 39
(21) Thunderstrike - Accuracy/Damage/Recharge: Level 39
(23) Thunderstrike - Accuracy/Damage/Endurance: Level 39
(23) Thunderstrike - Damage/Endurance/Recharge: Level 39
Level 8: Sniper Blast
(A) Sting of the Manticore - Accuracy/Damage: Level 39
(25) Sting of the Manticore - Damage/Endurance: Level 39
(25) Sting of the Manticore - Accuracy/Interrupt/Range: Level 39
(27) Sting of the Manticore - Damage/Interrupt/Recharge: Level 39
(27) Sting of the Manticore - Damage/Endurance/Recharge: Level 39
(29) Range IO: Level 40
Level 10: Swift
(A) Run Speed IO: Level 40
Level 12: Hover
(A) Freebird - +Stealth: Level 39
Level 14: Health
(A) Healing IO: Level 40
(29) Healing IO: Level 40
(43) Healing IO: Level 40
Level 16: Mutation
(A) Recharge Reduction IO: Level 40
(31) Recharge Reduction IO: Level 40
(31) Recharge Reduction IO: Level 40
Level 18: Fly
(A) Flight Speed IO: Level 40
Level 20: Stamina
(A) Endurance Modification IO: Level 40
(33) Endurance Modification IO: Level 40
(33) Endurance Modification IO: Level 40
Level 22: Lingering Radiation
(A) Tempered Readiness - Accuracy/Slow: Level 39
(33) Tempered Readiness - Range/Slow: Level 39
(34) Impeded Swiftness - Accuracy/Slow: Level 30
(34) Impeded Swiftness - Endurance/Recharge/Slow: Level 30
(34) Recharge Reduction IO: Level 40
Level 24: Aim
(A) Gaussian's Synchronized Fire-Control - To Hit Buff/Recharge: Level 39
(36) Gaussian's Synchronized Fire-Control - To Hit Buff/Recharge/Endurance: Level 39
(36) Gaussian's Synchronized Fire-Control - Recharge/Endurance: Level 39
(36) Gaussian's Synchronized Fire-Control - To Hit Buff/Endurance: Level 39
(37) Rectified Reticle - Increased Perception: Level 20
Level 26: Recall Friend
(A) Range IO: Level 40
Level 28: Enervating Field
(A) Endurance Reduction IO: Level 40
(37) Endurance Reduction IO: Level 40
(37) Endurance Reduction IO: Level 40
Level 30: Radiation Infection
(A) HamiO:Enzyme Exposure
(39) HamiO:Enzyme Exposure
(39) Dark Watcher's Despair - To Hit Debuff: Level 39
(39) Dark Watcher's Despair - To Hit Debuff/Endurance: Level 39
(40) Touch of Lady Grey - Defense Debuff: Level 39
(40) Touch of Lady Grey - Chance for Negative Damage: Level 39
Level 32: Nova
(A) Armageddon - Damage: Level 50
(40) Armageddon - Damage/Recharge: Level 50
(42) Armageddon - Accuracy/Damage/Recharge: Level 50
(42) Armageddon - Accuracy/Recharge: Level 50
(42) Scirocco's Dervish - Accuracy/Damage/Endurance: Level 39
(43) Force Feedback - Chance for +Recharge: Level 39
Level 35: Teleport
(A) Range IO: Level 40
Level 38: EM Pulse
(A) Ghost Widow's Embrace - Accuracy/Recharge: Level 39
(46) Ghost Widow's Embrace - Endurance/Hold: Level 39
(48) Ghost Widow's Embrace - Accuracy/Endurance: Level 39
(48) Ghost Widow's Embrace - Hold/Range: Level 39
(48) Ghost Widow's Embrace - Accuracy/Hold/Recharge: Level 39
(50) Ghost Widow's Embrace - Chance of Damage(Psionic): Level 39
Level 41: Team Teleport
(A) Range IO: Level 40
(43) Range IO: Level 40
Level 44: Aid Other
(A) Healing IO: Level 40
(45) Healing IO: Level 40
(45) Healing IO: Level 40
(46) Recharge Reduction IO: Level 40
(46) Endurance Reduction IO: Level 40
Level 47: Stimulant
(A) Endurance Reduction IO: Level 40
Level 49: Resuscitate
(A) Recharge Reduction IO: Level 40
(50) Recharge Reduction IO: Level 40
(50) Recharge Reduction IO: Level 40
------------
Level 1: Brawl
(A) Empty
Level 1: Sprint
(A) Empty
Level 2: Rest
(A) Empty
Level 1: Scourge
------------
Set Bonus Totals:
+6% DamageBuff(Smashing) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Lethal) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Fire) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Cold) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Energy) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Negative) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Toxic) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+6% DamageBuff(Psionic) for 10.8 seconds (Non-resistible)
Effect does not stack from same caster
+3.45% Defense(Energy) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+0.95% Defense(Negative) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.5% Defense(Ranged) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+1.88% Defense(AoE) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.25 Max Endurance to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+5% Enhancement(JumpSpeed) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+22% Enhancement(Accuracy) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+7.5% Enhancement(RechargeTime) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+5% Enhancement(RunSpeed) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.5% Enhancement(Held) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+5% Enhancement(FlySpeed) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+5% Enhancement(JumpHeight) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+3% Enhancement(Heal) to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+4% FlySpeed to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+96.4 HP (9%) HitPoints to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+4% JumpHeight to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+4% JumpSpeed to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+10.3 second Knockback (Mag -3) to Self [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+10.3 second Knockup (Mag -3) to Self [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+MezResist(Confused) 1.65% to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+MezResist(Immobilize) 4.95% to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+20% Perception to Self for 10.3 seconds
Effect does not stack from same caster
+14% (0.23 End/sec) Recovery to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+24% (1.07 HP/sec) Regeneration to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.5% Resistance(Smashing) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.52% Resistance(Fire) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+2.52% Resistance(Cold) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+1.88% Resistance(Toxic) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+3.13% Resistance(Psionic) to Self for 10.8 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
+12% RunSpeed to Self for 10.3 seconds [Ignores Enhancements & Buffs]
Effect does not stack from same caster
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I seemed to lose this post once so apologies if it pops up somewhere!
The following is all with PvE in mind, as I don't and won't PvP.
I've just come back to the game after several years away. I used to play a grav/ff controller, but this time I wanted to be a Villain, and as my background in MMOs has always been healing, and I wanted to continue this, corrupter seems the best way to go.
I have initially chosen Dark/Dark but don't want to lvl her much further, as my play times won't be as much as I would like, so I want to be sure now, rather than get her a fair bit higher to find I regret my choice.
I will be soloing a fair bit, as sometimes I only have 20-30mins playtime at a time, and I don't like to team for those periods as I feel its unfair.
When I can/do get teams, I want to be incredibly useful, hopefully having made the best choices on healing, and debuffs if possible (tho healing is more important to me). However, I don't want a debuff/heal bot as the memory of the pain of soloing my grav/ff controller still lingers - I'd like to be able to do some damage.
I am aware the above may be like asking how long is a piece of string, but any advice or pointers would be great.
Thanks in advance.