The best all around tires for you vette are the Michelline PS2's. THey are available in both run flat and non run flat.
If you don't race you may wan to consider Nitto INVOs. THey are a luxary performance tire. (Treadware 200-220)
Other good option, but much more performance oriented are the New Kuhmo XS and the Bridgestone RE01R. (treadware 140)
BFG has the KDWs, that that have a treadware of 300, but they are loud.