Glad to hear that you didn't shred the tire and do some real damage. I've not had to change a tire (yet) but I carry a bottle jack. However my plan is to climb one tire on a stack of lego blocks (lynx) to lift the flat one off the ground. I've tried it on both TT's and it works easily. The X23B needed a stack of 3 as I recall and the 5th needs 4. I also bought a small torque multiplier from Harbor F. It's got a step-down gear arrangement that promises to remove tough lug nuts tho at this point it's untested.
2013 F-350 CC SB 2WD 6.7PS
2013 Eagle Premier 351 RLTS
-SOLD- 2012 X23B
-SOLD- 2003 Ford Expedition 5.4, Bilstein shocks