Tires, tires, tires. I have a 4wd because I can get myself out of (and into) more trouble with it. For what it's worth though, I bought a set of goodyear wrangler silent armor A/Ts for my truck and when I get bored I entertain myself by seeing what they can get me through in 2wd.
I borrowed a buddies flatbed trailer once, and it was parked sunk into the dirt, with a sheet of ice in front of it where I needed to put my truck to pull it out. He and his dad were standing there telling me to lock the hubs and put it in 4wd. They have about 12 trucks collectively between the two of them and have never been able to pull the trailer out. Even my buddies 71 F250 highboy with an aftermarket lift and 12 inch wide tires needed 4wd to pull it out. I backed my truck up in 2wd, hooked up the trailer, and to my buddy and his dad's amazement yanked the thing out without slipping on the ice at all..... in 2wd. I should be getting commission, because I can't count the times I've given the local goodyear dealers a sale doing something like that.
Will your 2wd be able to yank tour trailers out of the mud? Probably not with the fleet farm specials wrapped around the rims, but spend a little extra on some good A/Ts (not M/Ts!!!) and I think you'll be fine.