I think you are thinking in the right direction but might require more that 100 degrees. As a side note, the doors are held on by gravity hinges, which is to mean that the door side hinge just hangs on the box side of the hinge. I might try laying the box on its back and bumping the door from the bottom in the upward direction. That might slide the door off the hinge. In the meantime, I like your heating it up hot idea first.