And the OP isn't "cutting anything close" on the truck with that dinky @ss camper.
I'm more amazed everyday, although should expect it here, that someone would try to overanalyze the OP's winter prep scheme (especially with the OP clearly exuding his knowledge and skills, not some "what can I tow" newby question), not only from a winter prep standpoint, but to then wrap it back into a weight discussion!
My buddy, thanks to his, umm, princess wife, ended up with a little baby Airstream and he's been relegated to their only personal vehicle being a Volvo wanna be SUV (poor guy, different story).
Similar size and weight to the OP's camper.
I've rode with him. Camper plopped on a hitch on the back of the Volvo, no wdh, and down the road they go. Handles well, stops fine with the remote add on cellphone trailer brakes. Heck, it doesn't even sag too much. It might all loaded up with everything but the kitchen sink for the princess and the kids though.
Point is, it's half the tow rig that a newer Ram 1500 is and it's JUST FINE.