How'd those Coopers do? I just bought some and actually have them on H2s as well!
My K30 has 4" front springs with a zero rate and I move the front axle forward 1.5". The rear is just a 3" solid block. It sits level since I have a big ol' 1200 lb motor hanging over the front axle and rides great. I used Tuff Country springs, but they're not nearly as cheap as they used to be! For a long time I ran 40x13.50-17s on H2 rims and only trimmed the front a little and they never rubbed and it flexed surprisingly well for a 1 ton truck. So with 4-5" of lift, you can run at least a 40, but I' rock some 37s in a heart beat. The Coopers I just bought were 1192 bucks, plus 105 for shipping. That's not a bad price for that size of a tire. Find some H2s and you're set. They're 17x8.5, light, and they look good. They're not too hard to find either. If you're picky, like myself, you can run externally threaded "conversion" lug nuts and put 2500HD center caps in the centers to button them up and give it a "finished" look.
I'd do a shackle flip on the rear with another zero rate to move the axle backwards and re-center it in the wheel well. That'd net you 5" of lift front and rear and provided it its level with that, 37s should be easy. Toss some tons under it with crossover steering and a locker or two and you'll have a nice, dependable, daily driver/trail rig. I've driving my K30 14hrs round trip to Easley, SC, driven it daily back and forth to work, hauled 15,000lb loads, and done sled pulls along with numerous off road recoveries. I really like to build stuff to do anything I could possibly need to do and still be able to drive it wherever and whenever I need.
Personally, for what you're wanting...or anything for that matter in an older GM, I'm far more partial to a carburetor. The TBI has its' perks, but for simplicity and ease of modification, I'd run a Holley. Toss on a decent intake, some headers, free flowing exhaust, and maybe a nice, torque cam and roll on. I prefer an overdrive transmission, but I'd run a TH350, TH400, or even a 4spd if that's what you found. It all depends on what gears you run and you're tire size. With no overdrive and something like a 37, I'd go for 4.10s. With overdrive, I'd likely go with 4.56 or 4.88.
Hopefully that helps you out a little.