Personnal opinion, i think this is a hell of a lot of work for very little result.
The "easy" and most efficient way would be to buy something like this (this is a C7 with the rear mounted gearbox but a C6 will do fine)
http://www.ebay.com/itm/2014-Chevrol...-/112102176694
And bolt an S13 chassis on top of it.
Now, i say this is a bit pointless because S13/14 rear suspension "problems" can easily be solved with bolt on items. Same goes for the front.
The weight distribution is not an issue either, unless you are one hell of a pilot that can actually feel a 1% change. I'd be more worried about the left / right difference, since these cars were designed for a driver in the right seat; heavy exhaust & manifold are on the left. The rear right side has like 100lbs less than the rear left.
If you actually are capable of extracting the performance of a car up to the point such weight distribution becomes a limiting factor, you should be building a race car, not something based off a production car with all its tradeoffs.
What i am saying is if you want to do it because you just want to, then fine, do it. But there are no performance reason to do all that, the result will not be whatever you want it to be IF it is the reason you want to do it.
So either use a 'vette chassis with an s13 look on it, or get an S13 with a bolt on pbm/tdp/gktech/wisefab suspension kit front / rear and a bolt on LS swap kit and call it a day.