Simple. Dry weight is worthless. You will NEVER tow it dry.
You need a truck capable of handling the trailers GVWR PLUS your family, and all the stuff you would normally carry on a trip. Once you add all that stuff, which BTW subtracts from the trucks load carrying capacity. So, for instance your truck loaded ready to go weighs 7000 pounds. And has a GCWR of 11,000 pounds, that leaves you a trailer loaded ready to go no more than 4000 pounds.
With five adults,or nearly adults on board you would be far better off getting a 250/2500 series truck.
