Yeah I do it basically like posted above on tires that are being difficult. Get the bead on one side seated as tight as you can, get a couple 4"x4" blocks under the tire so you can push the wheel down in the middle, flip it over, then while pumping a lot of air in with the valve core removed, push down to get the bead to touch on the other side. Can take a little fidgeting to not get the rear bead to pop back off before the front catches, but can usually get it. unless your trying to stretch a tire on to some super wide rim. I never had much luck with the ratchet straps. I've done a few dozen tires or more like this over the years.
I use a tire inflator that screws on to the valve stem so I don't have to push on it while trying to move the wheel around. And I've used smallish 4-8 gallon compressors, but you need to work fast the initial blast of air, and if you don't get it, let the compressor fill back up. Try to get the tire bead as close to touching the wheel as possible before you turn on the air, if using a small compressor.
On another note, a few years ago I was helping a neighbor put air back into a tire on their SUV that came off the rim on the front bead, did it on the car so you have to jack it up and work the tire around a bit (we were both grabbing it and pulling forward). The bead had just caught but the guy clearly didn't know about doing tire work, and started touching around the bead. He moved his finger, then instantly after the loud pop as the bead seated, he jerked his hand away real fast then. Happened before I could say not to do that, but he was lucky. Keep your fingers out of the bead area!