It will work, just don't expect to do anything very quickly. We carry several come-alongs with us (hand winches) even if we do have a vehicle with a winch, Cause sometimes things like this need to be done
(Winch on the front of the bronco was hooked on a tree in front and to the left of the bronco, while we had a come-along and recovery strap hooked to the back to pull the tail end around. We had to keep both hooked on, cause everytime he would drive, he would slide to the right off the trail. This was up Antioch, out in Sams Valley)
I'd also recommend Elk Creek. It's up past Shady Cove. You can either turn off on the Tiller highway and play around in West Fork, or keep going up the road til you hit Elk Creek. They both have some good areas to play around in. Mainly muddy stuff. I dunno what exactly you are looking for. Btw, you want recovery straps, not tow straps. Tow straps have no flex in them; might as well use a chain. A recovery strap gives you a bit of flex , which = a bit more forgiving on your vehicles when you're tearing one out of a bog.
The White City ponds are a good place to go to get muddy, but there's a really good chance of breaking something out there. It's mainly a bunch of big, deep mud puddles that have been ran by people running 35-52 inch tires, which means that when you drive something like my Jeep, on 31's, you get swallowed up in a pond very quickly. And of course you can't tell the depth until you're intake deep in it. John's Peak is a cool area, but I have never wheeled up there. We used to ride our motorcycles up there all the time, but I haven't been up since I got my jeep. Elderberry Flats is pretty awesome.