No need to calculate anything with that truck and camper.
The standard questions you’re being asked are just the typical generic questions some folks ask everytime a thread like this comes up.
Truck will haul that camper beautifully with minimal help needed from the airbags.
Put fully loaded camper on, it will be around 3klbs. Air up until basically “level”. IE let the suspension take enough weight to sag a couple inches from unloaded height.
Drive away.
Worst case you may think it still has too much body roll and a stout sway bar would be IMO the best solution for that. Presuming you want the compliant unloaded ride still.
Another option in lieu of sway bar which is a super easy experiment is make your own temporary lower stable loads. Put wedges or wood blocks or hockey pucks in between your lower overload spring and spring pack when the truck is unloaded. This so the springs get into the overloads immediately when you load the rear axle.
See if that reduces body roll enough. It will also lower the air pressure needed to level up which will add to a more stable ride. If you like that you can make
Bottom line, don’t buy a bunch more suspension gadgets before doing a couple simple tests. The truck itself doesn’t need anything other than standard F250 springs are little too compliant to handle a 3klb camper on their own.