My 1700lb camper turned out to be about 2800lbs at the end of the day after a few renos and loaded up for a month long stay. Not including 2 humans and a dog and whatever else was in the cab.
I'm thinking your estimate might be a bit light.
I think that the weight is not so much an issue as might be the higher centre of gravity and how the truck suspension handles the wind and winding roads.
My 3500 handles it nicely, but with the beefier frames/suspensions under newer trucks these days, maybe a 2500 or a "heavy half" might do the job.
