You could go to the Z06 sizes (both wheels and tires) without adverse affects. Limited factor on stock C5 wheels (coupe or vert), would be the 9.5" width in the back......probably 285's.
Jump to the Z06 sized wheels and 295/35 x 18 will work fine.
As Huskerman stated, going larger diameter can fuss with the Active Handling system and ABS, as well as screwing the speedometer.
Tire sizes can be figured by the width/AR (aspect ratio) and wheel diameter. Example 245/45 x 17.
245 = tire width (in millimeters) 45 = AR 17 = wheel diameter
245 x .45 = 110.25 (tire sidewall height) x 2 (top and bottom) = 220.5
17" x 25.4 (convert mm/inch) = 431.8
431.8 + 220.5 = 652.3
652.3/25.4 = 25.6" diameter
Rear tires
275/40 x 18
275 x .40 = 110 x 2 = 220
18 x 25.4 = 457.2
457.2 + 220 = 677.2/25.4 = 26.66" diameter
As long as these differences are maintained there should be no problem.