+1 on the ratchet strap. The flammable liquid method can be a little exciting at times.
The way that I was taught to use flammable liquid for re-seating a tire is:
A ) Make sure the valve core is removed.
B ) Trail a little of the fluid out away from the tire by 6'-8'. This so that you can light it standing back 6 to 8 feet.
I carry a big patch too. Used to carry a tube in the dune buggy days. One of the Dune Buggy Brigade figured out that tubes last a whole lot longer folded up if you put them in an anti-static bag, and use a vacuum 'Seal-A-Meal' type machine on the bag. Seals out the oxygen and shields it from the UV light at the same time.
I get making do with stuff that you normally carry, but one of these makes bead-breaking much easier:
That one was made to use a Snap-On 24" breaker bar as it's lever (because its a regularly carried item in the dune buggy), but I've also made one that uses the handle only from a Hi-Lift jack for MISF. With some tires you can break them on the ground as shown, but its far easier if you break it while still bolted to the vehicle.