Hm...I pull my trailer just fine with my Grand Cherokee. However, it's a limited and has a V8, so...? The temp stays good, the trailer doesn't wobble, the RMP's stay below 2000 (usually right at 1500 once the speed has leveled out). I really, really baby it though and accelerate and slow down very gradually, and I keep a longer distance between me and the car in front of me...but I would do that pulling a trailer with any vehicle. I went to the Jeep dealership and talked to them, and really researched beforehand. I wouldn't try it with my b/f's Jeep, however, which is a Jeep Classic V6.
Good luck with getting your new towing truck, though. I'm sure it will be the best choice. I'm just not able to afford one right now, or I would get an old truck for hauling, too. Save some wear and tear on the Jeep. :)