As usual, the OP is told his truck is insufficient, when it likely is plenty sufficient.
The trailer is 7,136 pounds dry. This isn't a toy hauler, so I think it's unrealistic to tell him to count on carrying an extra 3,000 pounds and having a 2,000 pound pin weight.
Based on the facts given, if the OP buys this camper, loads it up with his gear and family, I believe he will be under all of the the stated limits of his truck.
I would tow with that combination and not think twice, even with my three-year-old kid in the truck.