General rules are as follows:
The vehicle is meant to be driven fast and I expect people to do so. However, I have two requests. First, wait for the motor to warm up before opening it up. Second, ease into using the power under the hood since 480HP on a RWD car is significant and will cause the tires to burn out. If burn out marks are noted on the tires, the renter can and will be charged for the damage to the tire.
The Corvette is a low profile car. As such, take speed bumps and curbs at an angle.
If using the convertible be sure that there is no chance of rain, and cautiously remove the top by detaching the front and rear clips. After removing it you will see a place to clip the roof in the trunk. Be sure that it is fully clipped into the appropriate location. For instructions on how to do so simply ask upon check-in.