I would say to stay with a body made to fit the frame if it is any good. It will likely save you time and money down the road during assembly. Of course anything can be done with time (and money) so it is preference in the end.
Just a little story to help your momentum....
I bought my car 7 summers ago (before I was married) and got a great deal. There were plenty of problems but I fixed here and there to keep it running. I knew one day I wanted to rebuild it myself. Is it economical, no. However I feel that the experience of owning a classic car like a old corvette is not about being economical it is about loving what you do and having fun learning along the way. I almost sold my car in the spring because it wasn't drivable and I didn't have any time or money to do what I wanted. My wife reminded me that even if I sold it and bought another one later when we could afford to again it still wouldn't be that car I bought when I was 21 because I loved it. She is right. Don't get me wrong, I will sell a car to upgrade. But in my opinion (about my car) I don`t think anything can be an upgrade. There is too much sentimental value. So it sat all summer with no action. I still thought about selling it but I knew it was not actually worth what it was worth to me. And then I made a huge decision. (ya ok only like a month ago but hey it is a start) In one weekend the body was off and I started a complete rebuild. Was this a smart decision, only time will tell. But I do not expect to drive it for 5 years, or more because I want to do as much myself as I can. Either way I am learning a ton about these cars, and cars in general. In my opinion owning a old corvette (or any old car) isn`t supposed to be cheap or easy, it is supposed to be fun. So remember, whatever you decide to do make sure it is still fun.
T