I admire your problem solving skills.... I don't doubt you could find a solution for any halfbaked scheme I come up with. . Unfortunately, nobodys buying me any tools in the near future and induction heating is out of my wheelhouse, for now. I was going to try using a pair of plate lifting clamps I have, but they have teeth that would mark the work, and a chain I would have to cut, ruining them. I like your cam clamps and may make a pair for "experimentation purposes". Thanks for the sketch.
Now I'm having visions of stretched, melting pipe wrenches, sagging claw hammers, warped cresent wrenches, etc....