I just bought a 2005 Lance Camper with extended cab for the queen bed and it has the rear bumper. The manual says it's dry weight is 2,190 lbs and wet weight is 2522 Lbs. I have a 2016 Ford F250 Super...
It's good to know HOW to count cans of beans and gallons of water, but you have to actually DO it and not just wave your hands in the air with some vague warning about having to count cans of beans and gallons of water.
If you actually sat down and did the math, you would see that the OP's truck can haul ALL the beans and ALL the water. Just like Grit dog says, no problem.
Just for giggles, what does the door sticker say about the RAWR/GRAWR rating of the truck?