The rating is the easy half of the answer. A trailer never weighs its brochure dry weight — water is 8.34 lb a gallon, propane and batteries ride along, and so does your gear — and hundreds of models changed their published weights mid-run, so the model year decides as much as the model. Judged that way, with a 10% margin and 2 people aboard: 5150 of 5150 campers fit a Ford F-350 Super Duty (6.7 diesel DRW, gooseneck).
The number that quietly binds is payload — 7,630 lb (F-350 DRW Regular Cab 4x2, 8' box, 141.6" WB, 14,000-lb GVWR - the exact config Ford footnotes for both the 32,500-lb gooseneck rating and the 7,630-lb payload; Ford's payload chart is keyed to GVWR/wheelbase, and the 7,630 headline is the 6.2L gas build, so a 6.7L diesel runs several hundred lb lower): tongue weight lands on the rear axle with your passengers and the hitch, so a vehicle often runs out of payload well before it runs out of rating.
Loaded estimate: dry weight + full fresh tank + propane, battery and gear for 2. Headroom is against the rating less 10%.
THE HONEST SUMMARY
Fit, loaded, all years5150
Fit certain model years0
Too heavy loaded0
5150 fit. Which one is right for you?
That depends on what you care about — bunks for the kids, build quality, budget, weight you'd rather not tow. Set your priorities as sliders and watch all of these re-rank around them, live, with your vehicle already filled in. Nothing gets hidden.