I tow a 26' camper with my 2007 V8 AWD Limited, no problem at all. Though I wish it had a bigger gas tank to extend the range between fill-ups (I get 10-12 MPG while towing). Dry weight for the trailer is about 4400 pounds, and I weighed it at 5400 pounds loaded on a truck scale. Most of my towing is in the Colorado mountains, from 7,000-11,000 feet altitude.
I use a Hensley Arrow hitch to eliminate the trailer sway. Not cheap, but makes life a lot easier and safer.