Oooohhh boy. Thats WAY TOO MUCH trailer for that truck. I have owned the following tow vehicles:
2005 Nissan Armada 4x4 towed our Warrior fs2300 superlite (barely)
2004 Chevrolet Silverado 4x4. Same trailer, towed worse than the Armada.
2004 Dodge Ram 2500 5.9 Same trailer and ended up a perfect tow vehicle for us.
Towing anything even close to 30 ft in lenth with a half ton is begging for a collision. Cant tell you how many times I've seen a large tow behind pass up its tow vehicle because the driver made a foolish decision based on the "tow rating" or what the salesman at the car lot told him when he was shopping for his tow vehicle (same for the RV salesmen that do the same).
Please, Please do not make this mistake..
I would look no larger than a 26' trailer for the tow vehicle in question.