Hi Chris. I have a couple of mountain bikes with wheels that have fairly aggressive bead locks around the inside. I use a vise to pinch the tire together and then push the wheel over until the tire pops off the bead. I’m always careful not to leverage the wheel against the top of the vise, so as not to damage the wheel. BTW, these are carbon wheels. It’s been the only way that’s worked for me so far.
Knock-on-wood, I haven’t had to repair a flat trailside…yet. Hope that helps.