Welcome to JOF
'Camper_Bob' raises some good points to consider......., be mindful of potential "loaded" weights.
Published Tow Ratings can be a little mis-leading in some cases, your actual Tow Rating may be less then 7,200lbs.
Tow Ratings: http://www.jaycoowners.com/forums/f37/what-is-my-actual-tow-rating-3866.html
Also, keep in mind that a trailer's "loaded" tongue weight is supported by the tow vehicle, so the weight is subtracted from the vehicles "available" payload capacity.
To take the guess work out of your trailer search, I would confirm what available payload capacity your Jeep has...., and a 3-minute visit to your local CAT scale will tell you.
Take your Jeep under "loaded" conditions (full fuel, passengers, cargo) to a CAT scale and weigh it. Subtract the CAT scale weight from the GVWR noted on the driver's door..., the remaining weight is your "available" payload capacity for a trailer's loaded tongue weight and a 50lb WDH.
Note: RV and WDH manufatures recommend that a trailer's loaded tongue weight should be in the 10% to 15% range of the trailer's loaded weight...., most folks find that it actually will fall in the 13% to 15% range (which is desirable).