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I've spent a lot of time searching the forum and much time browsing Tire Rack for tires to fit Z06 wheels. My F1s are showing cord so they must go. They are stock size of 265-40-17 front/295-35-18 rear.
So far the only reasonably priced tires of the correct size are Conti Extreme Contact DW.
If I go up in size for the front to 275, then T/A KDW2 will work.
If I go down a size front and rear, 255-40-17/285-35-18 then I can put Hankook Ventus R-S3, Ventrus V12, or Kumho Ecsta LE Sport on it.
I'm not taking it to the track, it's just a driver.
Consider looking at DiscountTire as well. I shopped both Tirerack and Discount Tire when I was looking. Tirerack didn't quite have what I was looking for at the time.
For what its worth I went with the Invos. Great price ~$870 for all 4 tires IIRC. However I'm not on stock wheels and I can't say whether they sell those in stock sizes.