No, you will have a problem !
As you note, C7, Z06 has 19ins fronts and 20ins rear. tires : 285/30ZR19 and 335/25ZR20.
C7,Sringray has 18in fronts and 19ins rears. UNLESS you have the 1Z7 option, then you have 19ins/20ins rims.
The Stingray 19/20 option sports 245/35ZR19 fronts and 285/30ZR20...