Sounds like some good stuff so far.
IMO some of this unique object workout stuff has got to be labor inspired, as in, what would you do with that tire if you were doing something for work (not a workout)?
Chances are if your tractor had a flat tire you'd have to get the tire to your tractor, rather than your tractor to the tire...i.e., you can't operate a tractor that has a flat tire, but you can get a tire to the tractor.
So you've got to roll the tire to the tractor. Just for the sake of a good workout, let's say the tractor is up at the top of a hill.
So, roll the tire up a steep, long hill. Then for shits and giggles, roll it back down. Rolling it up the hill means pushing it; back down means holding the tire back so it doesn't get away from you. Do it with intensity and do as many reps as it takes to just about collapse from exhaustion.
Also, you may try setting up a bit of an obstacle course. Start at one end and do whatever it takes to get the tire through the course as quickly as possible. Make it difficult and almost impossible. :icon_chee
Pound for pound though, I can't imagine beating flipping the thing end over end.