A lot of us run the GY Eagle F1 GS-D3.
Like Bob said they are a good all around tire in dry or wet conditions.
You can get a set at Tire Rack
http://www.tirerack.com/tires/tires....Model=Corvette ZR1&autoModClar=
I see GY is offering a $80 mail in rebate per set if purchased before February 5, 2011.
The Kumho Ecsta XS also come in 275/40ZR17 front and 315/35ZR17 rear ZR-1 stock sizes. These have not been around as long but I have not heard any negative reports about them as of yet. Maybe someone here who has
experience with these tires can chime in.
http://www.tirerack.com/tires/tires....1&autoModClar=
On the high end you can also consider Michelin PS2s.
They come in same 275/40ZR17 front size and a bit wider 335/35ZR17 for the rear which are no problem to fit on ZR-1 11" rear wheels. These are one of the best performing tires around but not as affordable as the others.
http://www.tirerack.com/tires/TireSe...chelin&tab=All