I saw this posted in a thread last month, but no comments.
I googled Corvette repair and body shops in Corning, lots of repair shops but none saying they specialize in Corvettes.
May I suggest you contact some regional Corvette clubs and make inquiries.
Another suggestion, go to whatever Chevrolet dealer's body shops you have in the area, talk to the tech that does the Corvette repairs there, that may get you a lead who works on the older generations. Good luck.