The data contained in the CAC website is incredible. Hope this helps, you should be able to find the speed rating and load index from this info. Don't know if you had the standard or optional tires, think it depends on which suspension you have.
This is from the tech center link at the top of the page:
Corvette Action Center | Research Center | C4 Corvette | 1996 Corvette | Press Release: 1996 Corvette Wheels and Tires
or this from another member posted a few years back:
1996 Corvette
TIRES AND WHEELS (Standard)
- Tire size: P255/45ZR17 (front), P285/40ZR17 (rear)
- Tire type: High speed steel belted radial Eagle 40ZR Goodyear, unidirectional and asymetrical.
- Tire inflation front: 35 psi (coupe), 30 psi (convertible)
- Revolutions per mile at 45 mph: 497 (P255), 499 (P285)
- Wheel type and material: Left-right aluminum alloy road wheels with specific vent design.
- Wheel rim size: 17" x 8.5" (front); 17" x 9.5 (rear), left-right specific.
- Wheel offset: 1.97"
- Attachment type: Stud
- Attachment circle diameter: 4.75"
- Spare tire and wheel: T155/70D17, 17" x 4" wheel.
- Spare tire storage position and location: Horizontal under fuel tank.
TIRES AND WHEELS (Optional)
- Tire size: P275/40ZR17 (front Z16 coupe, front and rear Z51 coupe)
- Tire type: High speed steel belted radial Eagle 40ZR Goodyear, unidirectional.
- Wheel type and material: Left-right aluminum alloy road wheels with specific vent design.
- Tire size: P315/35ZR17 (rear Z16 and Z16/Z51 coupe)
- Wheel rim size: 17" x 11" left-right specific, 1.41" offset (rear Z16 and Z16/Z51 coupe)
- Wheel type and material: Left-right aluminum alloy road wheels with specific vent design.