specs of trailer http://www.rvguide.com/specs/palomino/travel-trailer/2013/solaire-ultra-lite/317-bhsk-eclipse.html even the seller (dealership) listed same weight. I am hoping the 625lbs is for the trailer listed with the options.
Those specification weights are all fantasy. The weight listed at 6700 lbs is the "dry weight", the trailer as it left the factory without propane cylinders filled and a battery. If you add those, a few gallons of water for road use, and some typical camping items, I'd bet you are going to be pulling around 7200 lbs. The tongue weight will be over 900 lbs. It will be right at the limits of your truck.
To advise you on the towing combination, it depends on how you wish to live with this combination. You will be carrying additional weight in the truck and that all adds to the payload capacities and axle ratings. The total weights will impact the durability and comfort of towing the weights. You may arrive at a destination with your knuckles stiff from trying to manage the large load with a smaller truck. You may tow all different types of trailers and are experienced with a big trailer. We don't know how you're going to perceive pulling the trailer. What is "no problem" for some folks may be a frightening experience for others.
Personally, I wouldn't pull a big trailer without an adequate truck and adequate is my definition based on my experience. In the general sense, that larger trailer will put you right at the limit of some of your truck's capabilities.
