How cheap is cheap and how much work do you want to do?
If you're lusting after fat tires and don't mind putting some work into a bike. I have a heck of a frame. It's a 1972 Fuji Finest.
Here are the pics and you'll see what the problem is (a stuck stem):
The stuck stem from heck
The frame itself is in very good shape. The paint is very good and the bike is fully chromed underneath the paint. The bike will need an oxalic bath though. It can take a very large tire no problem. It originally was spec'd for 27 inch tires and center pull brakes.