I have been running that size on stock rims on my 99 GTP. Grip and handling was incredible. The stance looks great. I went with Eagle F1 GSD3s. Worth the $$ if they are in your budget. A lot of Vette guys run them. They are incredible on dry and I think they rated 10 on wet. I have driven in heavy rain and they are really reliable in water. I was amazed and surprised being a wide tire.
The sidewalls are strong. The sales man sat on my old Eagle GAs off the rim and they squished in half. He sat on a GSD3 and they didnt give. Very strong side wall. This was a big guy too. That sold me right there.
I get a slight rub in the rear trailing arm. I am guessing only when I am doing rediculous cornering LOL. BUT it is not major, I dont hear it. I can just see a slight rub where the tire wiped the dust/dirt on it. The clearance is so close my finger doesnt fit between the tire and the arm lol. I have had them on the car for 2 years.