I run 345/30/19 Nitto NTO5R on the rear. I almost feel like I have to because of the power the car makes. Drag radials do suck in the rain, but my car never see's wet conditions unless it is in my driveway being washed =)
Michelin Pilot SUPER Sports for sure, mines are non run flats ( car is a 2010 Z06 with 600hp) - I hated my gen. I original Goodyears as much as I'm in love with the Michelin Pilot Super Sports. Tires chosen for lots of supercars too!
For track use I'll try the Cup non run flat.
I just replaced my F1s with Michelin Super Sports. They are so much quiter and much better dry traction. Priced about the same as F1s. The original tires only had 900 miles on them and were so hard and noisy you couldn't hear the radio.