What would be a good alternative for your C6 Corvette tires?
The first question to ask yourself is whether or not you want to stick with the run-flats. If you are hoping to stay with the run-flats, of course you could stick with the Original Equipment Goodyear Eagle F1 Supercar EMT. If you are looking to improve the wet and dry traction, as well as the road manners but keep to the run-flats, you would then want to look to the Michelin Pilot Sport PS2 ZP.
If you still want run-flat tires but are looking to increase your longevity, try looking at the Michelin Pilot Sport AS Plus ZP. You maintain the run-flat technology, and will increase your longevity by as much as twice the Supercars!
If you are looking to leave the run-flats behind, your options open up very quickly. If your purpose is straight dry traction, the Bridgestone Potenza RE-11 would be a great choice. You would be able to Autocross on this tire competitively.
To stick with the same basic grip with some added longevity as Original Equipment, you would look to the Bridgestone RE050A Pole Position or the Michelin Pilot Sport PS2. The PS2 is reviewed slightly better, but the Bridgestone will save you about 40%!