I run an Alpenlite Cimarron 835 on the back of my supercab long bed F-350 Diesel 4x4. I run a 2 1/2" Icom leveling kit in the front with Firestone airbags and Torque lift overload spring bushing extenders in the back. I run 35 x 12.5 Pro-comp extreme all terrains (load range "E") and the over-all system works very well. The camper is 2235 lb.s dry and probably sits at about 2800 lbs. loaded. I have taken this set up on light off-roading many times. For our roads in BC it is probably a little too tall for many trails as the trees aggressively try to fill in the break in the forest canopy over roads in very short order. I also toad a little Suzuki Sidekick lifted with 31.5 x 10.5 tires for the more extreme trails I want to travel. It only weights about 2300 lbs. so I am well under in towing weight.
Your set up with a toad Jeep would be a little more tow weight on a little less truck, so I would recommend that you get a trailer with electric brakes for your Jeep like Mike008 has for his set up. (By the way Mike, that is a great set up!). You should have no problem with the camper but I really think you need more braking power than you currently have.