I would agree with comments others have made. A 16' would work but an 18' would be better.
While I don't trailer a 1st gen Camaro, here are some pic's of my 4th gen on my 18' open trailer. You will notice how much room there is between the end of the car and the end of the trailer.
You will also want a trailer with a deflector on the front of it like mine has.
Both of my 4th gen Camaros have been lowered and the doors clear the fenders with room to spare.