Does that truck have the payload (or CCC = Cargo Carrying Capacity) needed for a camper that heavy? I’d kinda be shocked if it did, as 3500# sounds like 1-ton dually territory.
Axle and/or tire ratings are usually the limiting OEM factors between 2500 and 3500 series for instance. Maybe you’ve already accounted for that, but just want to make sure you’re not trying to frost a hollow cake here.
This is a harsh reality, but true. If the camper is really 3500 pounds, then I would expect the truck to be a good 1000 pounds overloaded, from a legal standpoint.
I imagine that a 3/4 ton 2wd truck with the full float axle, 265 tires, full tank and driver, is going to weigh 5500 - 6000 pounds.
Personally, I think the truck can handle it but it legally it could be a problem depending on where you travel.
When I carried my camper, I tipped the scale at 7800 pounds, my GVWR is 6600. In Alberta and Saskatchewan, they don't take this too seriously. I was told by an RCMP officer, they will generally only pull someone over if they "look" overloaded, ie ass end of the truck sagging on the ground. I understand it would be an entirely different situation in British Columbia where they are much stickier about GVWR.
OP, take your truck/camper to a highway scale and check out your front axle, rear axle and combined weight. I am sure you will be under each individual GAWR but over the GVWR.