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.