Brian, that is one beautiful chariot!
In our experiences the Z06 is an animal on whatever track you put it on, but they also love to build heat like no other when run vigorously. When drag racing these car's we usually put excessive time in trying to cool the car between multiple runs, which we understand can be quite difficult when on a track like Road Atlanta. For guys that come to us with the intention of road racing we typically suggest upgrading the thermostat, heat exchanger, and air intake. These parts will not only help you keep engine temperatures in a performance happy range, but will also allow the Z06 to naturally make more power.