Another option: put 2x6 scraps from the concrete up on the edge of the tire so the 2x6 is like ramp. The 2x should end on the tire, up against the wheel, but not on it. Then drive something up on it.
X2
I've changed lots of tires by breaking the bead this way and then using tire irons to take them off and install new tires. Ten plies can suck, as can low profiles on those big rims that are so popular these days. Otherwise, use lots of soap and it isn't bad.