Air ride and or coil overs are both options. Both with the stock chassis and aftermarket chassis. You can go as simple as swapping in coilovers and a set of control arms up front and coil overs and better than stock arms in back. Just coil overs all around, air bags all around, moderate to extreme suspension upgrades. It really comes down to how you intend to use the car and your budget and tastes.
If you want to do some open track competition or autocross events you can make any chevell or nova or camaro out handle a C5/C6 'vette.
Or, if you just want a good cruiser you can make a couple of tweaks or install the Hotchkis TVS systems and you'll have a great handling car that will do well on the street and the occasional track day. Add some better brakes from Kore3 or any of the other great vendors here and you are set. If you need a transmission to go with your LS motor look at Cleveland Pick A Part for used ones or other vendors here for new ones with swap kit.
The options are endless. It really does not matter what car you get, you can build it into anything. Look at the Chevelle in the for sale section from Ironworks. That is a great starting point for a killer project. Good luck!
