I'm don't know my around a D3 but a possible way of breaking the bead would be to raise suspension to max height, put the tyre/wheel under the car near the jacking point, put the jack under the jacking point on the tyre near the edge of the rim and lower the suspension.
I could be completely wrong.
FWIW I went east to west in the Simpson and back along the Oodnadatta track to Maree, and back up to Birdsville. I only got one puncture just before Maree.

