I carried my double slide 9 1/2 ft camper on a 2006 SRW Ford Supercab. I watched how much water I carried and kept the weight of the extra items that I carried as low as possible. Since 2005 or so, SRW Fords have had payloads of over 4000 lbs.
I added Vision 19.5s for extra tire load capacity, Rancho 9000s, air bags, and Energy Suspension bump stops to engage the overloads after using the air bags to level the camper. It handled the 3571 dry weight camper pretty well.
Of course, my F450 DRW handles it better and I no longer have to worry about carrying a full tank of water. We also can carry whatever we want.
Normal guidance applies though, find the TC and then decide what truck you need to haul it. You should be able to carry most 8 ft - 8 1/2 ft TCs pretty well on a SRW as long as you understand your limitations.