The short wheelbase is the strongest drawback (along with the attendant high center of gravity). The best site to look over vehicle safety is this one; use it to compare to the trucks:
Play with the features to see how you think about the trade-offs of the GC Jeep versus a full-size pickup (or similar) as you'll be using it more miles solo than not.
JEEP sez that the Overland/diesel can tow over 7,000-lbs. I imagine the engine can (nice numbers), but the DANA 44 axle isn't a super strong piece (such as the DANA 60), but it ought, and the Jeep ought, to be able to handle something of a decent size, reasonably. Tongue weight :: payload capacity will be a limiting factor.
If you'll search here for threads by INLAND RV CTR (Andy) you'll see his discussions on proper rigging. By those, I wouldn't consider "band-aids" of
adding spring capacity.
Here's a handy travel trailer towing calculator that you can plug numbers into to do some figuring:
I imagine that Andy Thompson of CAN AM RV could get you set up. He's got folks out there pulling Airstreams with all sorts of tow vehicles.