At the bottom of the following Lincoln Nat'l Forest link are 3 areas listed under "dispersed camping" with directions on how to get there. We've camped in Nat'l Forest's before but not with the TM yet. I think you can camp pretty much anywhere, but I would suggest you call or visit the Forest Service for that area to get specific information. I would also suggest taking a scouting trip out there before you tow the TM as some of the roads are dirt, very narrow and may have sharp turns which may get you into trouble. Pick a few camping sites out which are easily accessed with the TM and write down the directions before you go. Since you are traveling from Texas, you may want to stay at an RV Park for a day or two until you have your site picked out.
http://www.fs.fed.us/r3/lincoln/recr...-camping.shtml