When I worked for EMI...eons ago...we used to flip tires inside out for salt feeders for ranchers. The way we did it was to use a "jig" that we concocted that was made out of 2X4's. I still have the basic design in my head, and if you're serious about this, contact me, I'll be happy to help you design a reproduction of this "jig". Using this "jig" made this a relatively simple operation and didn't require any type of superhero strength.
Ben