How Would You Build This Stroker?

You got a link for that class??

Handling is gonna be a bigger problem than engine power, excessive low end power is gonna hard to hook up coming out of the turns depending on the tires allowed.

You'll want more of an endurance engine than a drag motor. I'd go with the 3.79 stroke will keep better bore and rod ratios plus can be spun to higher rpm. Aluminum heads are more of advantage than aluminum block the higher the weigh the worse it is. Pocket ported eddy probably give you more than enough flow. Fully ported heads are more fragile. I'd start with a siamese block if you can but settle for a 340 or 360 in that order.
bigger bore offers more air flow potentially and Cid.

Here are the rules. Someone posted them on Moparts. Although I haven't seen an official link. Either way, I'm not doing it to be super competitive:

http://board.moparts.org/ubbthreads/showflat.php?Cat=0&Number=8367849&an=0&page=1#Post8367849

As for the stroker, I was definitely thinking of something "mild," yet lighter and very reliable. At first I thought about a 371 ci with a 3.580" crank or something around a 394 ci with the 3.790" crank. The number in my mind was somewhere around 450 hp with a fairly flat torque curve. Not much more so that I'd lose streetability.

As for suspension, I think I'm pretty set up. I'm finishing up an install with the Hotchkis TVS, Doctor Diff big brake kit, and 8 3/4 with an Eaton TrueTrac and 3.55 gears. I'm still waiting on wheels as it's a nightmare. I've got Bilstein shocks I can throw on it, but I'm waiting for Hotchkis to finish up another run of their adjustable shocks as I already placed an order. I'll be running 255/40/18's all the way around on Michelin Super Sports.