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Your pace car is a base narrow body, while the Z06 is a wide body car.
Hence the rim off set will be wrong (Z06 rims off sets put the rims farther out), and the tires will stick out past the fender. One small bump to drive the tires into the fender lips, and it will destroy the fenders. Plus, you don't have the room in the narrow body wheel wells for the wider rim/tires (back mostly).
C6
Fronts - 18 x 8.5 +56mm offset
Rears - 19 x 10 +79mm offset
C6 Z06
front: 18 inch x 9.5 inch, +40 offset
rear: 19 inch x 12 inch, +59 offset
Designer Imagines A Corvette That Looks More Like a Corvette Than the Corvette
Slideshow: A Jaguar designer's personal project imagines what a modern front-engined Corvette might look like if Chevrolet revisited the golden age of the Stingray.