well, arch can solo, but kinda like fire it doesn't have very much built in mitigation short of killing things.
As you level up things like explosive arrow can help quite a bit, but would run the risk of knocking everything away from your traps area.
I wouldn't see arch/traps solo'ing very well until you are in your mid 20's, that's how it was for my fire/traps anyway.
However, the carrot at the end of the stick being run into a mob drop poison trap and fire off rain of arrows is very appealing.
I don't have a build for you, but I'd suggest slotting up webnade and caltrops as they are pretty much all the mitigation you'll have for quite some time.
Honestly I'd suggest teaming the toon until it is a bit more mature. Although teams seem to be fairly difficult to find redside lowlevel right now even with AE being deserted and new SSK feature. I've been having a heck of a time getting teams for my now lvl 12 elec/kin (freedum). It has taken me like 4 nights just to get it that far 
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I played an archery/traps corruptor to L17 on test and am working on one right now on live. I have found that the key to soloing is to focus initially on single target damage - capitalize on the fact that you can get your tier 3 attack at level 6, then use caltrops + web grenade to keep mobs out of melee damage.
My current a/traps corruptor is level 12 or 13 and has the following powers:
Web Grenade
Snap Shot
Aimed Shot
Caltrops
Blazing Arrow
Combat Jumping
Acid Mortar
Swift
I plan on taking fistful at L14 as its a fast activating, fairly end friendly AE that will give you a nice filler attack. My standard strategy is to drop caltrops at my feet for large groups and then take them out one by one - the caltrops don't completely prevent them from closing but because they trigger an avoid as well as having a movement slow the mobs will close with you, maybe get off one attack, then run away - all very slowly. Web grenade is good to prevent those hard hitting LT's from closing at all plus it has a 50% recharge speed debuff which cuts down on incoming damage.
Snap Shot + Aimed Shot + Snap Shot makes for a fast, low end attack chain and you can slip blazing arrow in whenever it is up. While SS and AS do less damage than other tier 1/2 attacks they also have a much better chance to benefit from scourge where a classic 4/8 second attack chain would frequently overkill by the time it scourged.
I actually find sets like archery and fire EASIER to solo pre-20 as the faster firing tier 1&2 attacks are more flexible at low levels when you really can't afford to slot recharge in them. Fire's real problem is that you get all that AE prior to L10 but you don't have the end to use it where archery gives you your T3 single target a lot ealier and spaces out the AE a little better although it doesn't catch up to fire until L32 when RoA brings it up to par.
Globals: @Midnight Mystique/@Magik13
I have a lot of experience with Traps both on a Corr and MM. I have good archery experience. I have created a Arch/Traps corr tho it is low lvl it looks pretty good.
A solid build upto 20 would be.
1) Snap Shot/Web Grenade
2) Fistful of Arrows
4) Caltrops
6) Swift
8) Blazing Arrow
10) Combat Jumping
12) Acid Morta
14) Super Jump
16) FFG
18) Health
20) Stamina
Now many people skip travel powers in the low levels, I am of the latter getting them early allows me to slot up my attacks and other powers as most travel powers rarely need more then 1 extra *** (Unless you using them for mules or perhaps PvP) Super Jumping is just the travel I chose for this toon. You can set traps from hover as long as your close to the ground. You don't need to drop hover to do so.
Snap-Fistful-Blazing is a decent attack string to start. Add in vet rewards to fill out if you got em. Getting Acid mortar out frequently is the key. Its got a good debuff and can be a great magnet for enemies to target.
My 20s will look like this.
22) Poison Trap
24) Aim
26) Stunning Shot
28) Seeker Drones
30) Maneuvers
Stunning gives a much needed stun which can stack with the seekers. The seekers are your alpha absorbers. They will be what allows you to run in and drop Poison Trap, Acid Mortar, and Caltrops with a fair amount of safety. Maneuvers is there for added defense to stack on top of the FFG and for another slot to put a LOTG 7.5. The Stun on Seekers isn't that great and I personally slot for -To Hit.
My 30s are really wide open as I really don't like the last 2 powers in traps. They have their uses and can be put to good effect I just don't like em. Personal taste really.
32) Rain of Arrows
35) Hasten
38) Tactics
Again this is really just for my play style but Hasten really helps get those traps up much much quicker. And again I just really like tactics (To Hit Buff sets are pretty good). You could easily replace it with some other power.
The 40s are pretty loose. You can get some good powers from all the set to help round out your attacks or debuffs. Personally I am going with Ghost Widow. Since my alpha is run in and drop stuff may as well get a PBAOE that buffs my damage and who doesn't love a power boosted FFG!!!!
Ymmv and the build is very loose. Some people will disagree with keeping snap shot, but I find snap shot is better DPA over time then Aimed Shot. I don't really find Explosive Arrow to be that worthy on a toon other then a blaster. Its great for some extra mitigation tho. However I want mobs staying in my PT, Caltrops.
Hope this at least gives you some building ideas. I didn't go into slotting because that's a personal taste and you may slot your powers differently. But I always slot my Seekers, PT, Acid with 6 slots and try to get as much RECH as possible.
As always this community is amazing. Thanks all for the great suggestions. I will definitely use your advice. So far I am really enjoying this toon. Have a great week
Hello All, I have just started a Arc/Traps and would like to get information on a good solo build for leveling him. I have never run either power set before.
I do have a 50 Rad/Rad which I love for teaming. I was wondering if the Archery build is a soloable power set anyhoo. Thanks in advance