I have a variety of 2x6's (used for stabilizer jack pads) and a (2) 2x12 with plywood between them (used for tongue jack pad) that I build a ramp out of, then use the truck to push or pull the good axle up on, thus raising the flat tire off the ground.  I find this far faster and safer while on the side of the road.
Also of note, my 4 way lug wrench won't fit on my new trailer, as the center cap is too near the lugs.  So I bought a lug socket set, extension and cheater bar to keep in the trailer.  Glad I tested this before setting out on the first trip.
Also have a Viair compressor that is very impressive and a tire repair kit as extra insurance.