Any reason why you don't want to consider the 700r4, 200r4, 4l60e, 80e, etc?
Th400 bone stock will be able to handle pretty much anything you ever throw at it.
A th350 will be cheaper to build, and if you wanted to outfit one for serious drag racing with a nice converter, brake, etc, will more than likely be cheaper to do than a 400. But like Kenny said, they don't like you to be spinning on the 1-2 shift.
a 60e/80e with a shift kit will probably do everything you want to do, but will need a controller; the upside is you can wire up a sloppy transbrake for badass launches without spending all the money on the valve body.
A stock 250k mile 700r4 with a transgo kit, vette servo and run of the mill cooler has held up to 25psi from a t04e plus a small shot of juice pretty regularly. But something with a deep first gear like that might not like a super low geared rear end. Also being the high mileage that it is, it occasionally doesn't like to make the 2-3 shift at WOT and too far into 3rd at WOT will slip. BUT I've also got a 3.08 rear end so I've not needed to run that much rpm in 3rd before its going too fast to feel planted, and I can make a solid pass at the track, turn it 7k and never leave 2nd. Then again, it might be different once I can get a full pass on the bottle.
Thelostartof I believe has run the 200r4 for quite some time, those can be made to hold up pretty easily to a fair amount of power.
Just remember when you're buying a torque converter that converters for these are generally spec'd behind something with twice the cylinders, so they're not going to footbrake for you what they will for others. Unless you help it out with a little bottle feeding that is... My summit 3k stall that footbraked to 3200 behind a 5.7 ls1 only brakes to 2200 behind a redblock before it starts trying to spin tires, but once the launch control shuts off and the solenoids kick on, it loosens up really nicely.