Thinking of the scenarios in which I've managed to get my TC stuck, I can't say that any of them required more than 6' of movement to get unstuck and I seriously doubt if the amount of force required to unstick me was over 2000 lbs.
With these parameters in mind, a Hi-Lift jack and chains/cables probably would have sufficed to get me unstuck every time. (For me, it was just easier to call a closeby friend with a tractor than get the Hi-Lift out. Yes, I'm lazy.)
Ultimately, however, experience beats the heck out of any winch/jack, IMO. I would not rush to get a winch without using a TC for a couple of snow removal seasons prior. This last season was my third and I didn't get stuck even once. Alot of that was simply due to experience with the equipment.