What does it cost?

If the alternate plan is to part it out anyway, just start taking it apart and addressing the real bad spots. Once you get to a point where it's no longer feasible to fix it then either part it or look for a solid body to build. My original Duster ended up being too far gone for me to fix so I lucked into a restored painted body out of Texas and restored that car using my car as a donor.
If I could give one piece of advice, don't take any more things apart than you have to. The donor car can be an instruction book if you let it! Good luck with your Barracuda!

Cley