Momma told me never to be a Gambler

DB/SR

Obtaining Blinding Feint -> Attack Vitals Combo -> Repeat is easy enought o do for good ST DPS, the set comes with good AOE, and you don't need a lot of +RCH, as SR's powers don't require it, and Dual Blades doesn't require much to pull off that combo I mentioned.

-any AT with high base damages (scrap, dom, blasters) will make a good use of Musculature.
-tankers with resist based primaries will do a great use of cardiac.
-heal-based powersets (emp, regen, willpower) love the secondary effect of spiritual, and controllers loves the Nerve Radial paragon


for hasten, some very specifics AT with powersets combos don't need it, but it's less common :P

My Bot/Force Mastermind uses Musculature Core, because the damage enhancement was just about the only thing that was useful at all to him. The only other Alpha that had anything at all worth having was the 20% +defense on Nerve, but I don't feel it's worth the sacrifice of 45% damage on my pets (effectively about 33% on the tier 1 and 3, my protbots get all 45% though due to light slotting to make room for the aura IOs), especially considering that he's at 45% ranged and AOE and his pets are at ~55% to everything already.

My only other characters that use a non-Spiritual Alpha are my DP/Rad Corruptor (who runs perma-AM and perma-Hasten by the grace of their own +recharge and set bonuses, and so uses Musculature Radial Paragon instead), and my Ice/Storm Controller, who is... also running perma-hasten from set bonuses alone and goes through endurance at such absurd rates that she needs both Cardiac Core Paragon and Ageless Core to stay afloat when going full tilt without external buffs.

There are sets that don't gain as much from +recharge as most, but... realistically that number is small, and it's even closer to impossible to make a pairing of two that won't benefit from a lot of global recharge. Masterminds are your best bet for this in my opinion, just stay away from Traps.

Edit: I feel the need to disagree with the people suggesting a Controller. While it's true that Nerve looks nice on paper for a Controller, unless you don't use IO sets the accuracy is nearly guaranteed to be wasted and the increased durations on Hold and Confuse are almost totally superfluous because of how absurdly long an enhanced level 50 controller's CC effects last already (most approach a minute in duration on even targets, and the +1 from Alpha Slotting diminishes the falloff on level 54 mobs by a noticeable amount).
Meanwhile, every Control primary enjoys massive benefits from +recharge and most of their secondaries do, too.

I24 Proc Chance = (Enhanced Recharge + Activation Time) * (Current PPM * 1.25) / 60*(1 + .75*(.15*Radius - 0.011*Radius*(360-Arc)/30))
Single Target Radius = 0. AoE Non-Cone Arc = 360.

I wanted to optimize my Stone Tank for full time Granite. The penalties that I wanted help with were -Recharge, -Damage, and -Speed. Can't do anything about -Jump of course. Over time I have tried four T4 Alphas.

The first T4 I made was a Spititual Core. The recharge boost helped a lot as did the Heal boost, but the increased damage from smoother attacks was offset, in anything other than a short fight, by endurance problems from more activations. I had hoped to get Earth's Embrace to perma levels in granite but that would have required a very extreme build and adding Hasten.

I next made a Musculature T4 core. The damage problem was well addressed but not erased, and the roughly equal DPS did not stress my blue bar as much. This is the best single answer to the big Granite damage penalty, but offers no other benefit to a Stone-Fire-Pyre. This T4 plus a Reactive Radial Flawless let me start soloing Pylons in a reasonablre amount of time, and cut down my farming times by a third or more.

Moving on, I reworked the build to improve recovery, add very strong Global recharge from sets (this seemed the most efficient way to deal with that penalty. I did not want Hasten as I preferred other powers and no toggle droping crash), retained most of the run speed boosts from sets, and made sure all attacks were ED red. I then made a T4 Nerve Radial for Incarnate Trials. This plus a few set bonuses put me very near the 59% defense you want for incarnate opponents. Useful Accy boost and a nifty Taunt boost. Damage output suffered. I still use this Alpha for extreme Tanking.

Recently I made a Musculature Radial T4. The 33% Damage with two-thirds ignoring ED is actually really close to the 45% Core when you look at the final numbers on a toon that is already at ED red damage from regular slotting (about 8% difference). The speed boost let me save a slot in Swift and drop a run speed set bonus to gain another slot. The Recovery boost let me save another slot in Stamina. This is now my everyday Alpha and I think it is the best compromise for a Granite focused Stone Tank.

Now, if I had only had enough skill with MIDS and sufficient game imagination to pick the Musculature Radial at Step 1 .

Jak

Out of 37 characters on Virtue, I have less than 8 LOTG recharges. I only have 3 that have the alpha unlocked. I think, some I haven't played in a while, that I only have 4 characters with hasten. Most of my character are a little frankenslotted with sets, but a good chunk still use SOs.

Try an Axe or Dual Blades character. If you pick an armor set that doesn't need much recharge then you can easily get a solid attack chain with minimal IO investment. DB does need a ton of recharge for it's top chain, but you only lose a few percent DPS dropping down to Blinding Feint -> Attack Vitals and that chain only needs around 30% or so global recharge as I recall. DB/SR can get by on two or three mid-range recharge bonuses and Quick Reflexes, and it's a fun combo to play if you want a swashbuckler type. Axe is similar... you only need modest recharge to get solid DPS because most Axe attacks have almost identical DPAs.

Another good option is a MM. FF gains pretty much nothing from recharge and Thermal works quite well without a lot (though more debuffs and Forges are better). Traps does need fairly high recharge to reach its peak, but Bots / Traps solos GMs on SOs so unless you plan to solo task forces or something you don't really need to reach peak performance.

Oh, and don't forget Stone Tankers. Sure recharge helps offset Granite's penalties, but you're going to be focusing so hard on run speed boosts that you can easily live with low recharge if you need to.

Granite does benefit from recharge alot, penalties hit harder then bonus (20sec recharge with 60% penalty becomes 50seconds recharge), so unless you slot all your powers with at least 60% recharge to keep base recharge, you just standing there waiting for powers to pop up. Specialy incarnate trials with those psi mobs can put your recharge floored.

I would go for MM, my Necro/trap does have hasten (in trials my pets die alot) to get the summon powers back sooner, but i could go without by just popping a few more recharges in the summon powers.

/traps is very safe on powers, most powers already can be perma without external recharge and if you can pop 1 more (like acid mortar), it wont stack anyway. Calltrops is handy to have, but if you are ninja/ you already have your supply of them.

So with little or alot recharge, it hardly effects your damage output. Pets will do their thing, you have your debuff, only your control is somewhat lesser.

People have mentioned Dual Blade, people have mentioned Willpower. So I'm going to combine them throw out DB/WP. Mine doesn't have Hasten or Spiritual, even though Spiritual's Heal enhancements would be quite useful. I do however, use LOTG +7.5Rch IOs simply because there are a number of powers that take Defense IOs and LOTG bonuses are WP friendly (especially the +HP one), so why not?

Ok.

Really and truely I don't ever use Spiritual on anything other than my Empath, cut it just makes sense. However on Disomnia my Dom I use Cardiac, and same with Rift-Dance my controller.

Actually Cardiac is in my oppinion "THE ONLY ALPHA" in most cases. However both have hasten. But the extra range, end redux and resistance is good for almost every AT in some fashion, just with the end redux alone.

My current project Sun-Dance is a DB/EA scrapper and Im slowly understanding why scrappers are brutal. With EA allowing for endurance draining effects, and DB seeming to recharge extra fast on it's own, and body mastry allowing for health/endurance regen, I might not have to go cardiac (Which again is amazing for any AT). Nor have I needed to take hasten or slot at all for recharge.

So I may pick either nerve or musculature.

But DB/EA needs nothing. It's just straight up perfect!