Before I had my motor home I had a 23' travel trailer. Wet weight of 4500lbs, 62 ft^2 frontal area, with the jeep at 5000lbs loaded. Dual cam weight distribution hitch, proportional brake controller
Towed wonderfully. Was much easier to drive, faster, more wind resistant, and stopped quicker than my stock 35' motor home.
Now I had a V8, so you will be slower, but it can do it and should handle and brake fine if properly set up.
Head over to RV.net for detailed info on setting up your tow vehicle.