Forget the dry weight. Period.

Dry weight means nothing to you or your truck. You need payload numbers. You need to check the GCWR for the truck then load up the family and fill it with gas. If you plan to haul coolers in the truck or bikes or whatever load that too. Head to a truck stop with a scale and weigh the truck. Subtract that number from to get your true payload then you know the difference in what you can put on the hitch of the truck.

If you play a straight numbers game with the towing capacities you can easily pull the trailer. If you check the real ratings you may find that the trailer is heavier than you have payload or hitch capacity for.

I have a 06 screw that is rated for 9900 towing but the biggest dry weight I would consider is 6500. You have to think that you will add at least 1000 lbs to the total weight of truck/trailer when you load clothes, food, people, toys, etc. It adds up fast.
Can the truck do it? YES
Can it do it safely? Questionable

If you live in hilly country this is probably not a good deal. If you live where it is flat as I do. Might be alright if the numbers can work out.