Well it is really hard to see how much of shroud is missing. If it is not too much, then maybe a fan shroud logo can help.
www.corvettecentral.com
Part Number: 243002
It is a curved piece of plastic that says "corvette" and is supposed to stick onto the top of the shroud. Depending how now big of a piece is missing, it may cover the hole. I'm sure you could find a replacement shroud. A lot of people upgrade to racing radiators and electric fans, and when they do they usually remove the shroud.
Good luck