My thoughts agree with all above.
Max FW for a ? ton truck will be about 12,000# - a somewhat small FW.
When looking at campers, IGNORE DRY WEIGHTS!! Nobody goes camping in an empty camper! You need a truck capable of handling a loaded camper. Use the camper GVWR for the camper weight. Use 20% of this for FW pin wt and 10% as TT hitch wt.
Why are you opposed to a 1 ton SRW truck?? Within a brand, internal and external dimensions are virtually identical. They are the same truck from a size perspective. The 1 ton has a heavier suspension and a higher GVWR. ? ton trucks will have a max 10,000# GVWR. Most (not all) 1 ton trucks have a 11,500# GVWR (SRW). The GVWR has more to do with the official load limit, and thus tax / license rates in some states. For new trucks, identically equipped 1 ton truck costs less than $1,000 more than its' ? ton sibling. For this, your payload increases by about 1200#.
If you are stuck on a ? ton truck, consider a TT. A FW places about 20% of its gross weight in the bed of the truck. A TT places about 10% of its gross weight on the bumper. Obviously, a given truck / payload can handle a much heavier TT than FW.
When calculating truck capacity, the Payload published by the manufacturer MUST be reduced by the weight of all options and aftermarket equipment. This reduced payload must be larger than the total of FW pin wt PLUS 200# for FW hitch PLUS the weight of all passengers, pets, tools, cargo, snacks, and anything else carried in the truck.