I know that short, fat, open-frame motor well. I'm surprised you have 3 burned out as they were always very tough for me. I assume you have tried running the bare motor on the work bench and seeing if it runs and how much current it draws?
A pretty quick drop-in would be the old Life-Like open-frame F-7 motors from the 1990s. Sometimes you can just buy one of those cheap of eBay and snag the motor. I seem to recall replacing a Hudson motor with one of those, and they fit with minimal filing of the frame. They are also a very good running motor.