Buzzcut1,
Hit the local dump scale today. Mind you, they use the scale to charge contractors for dumping.
Front: 4440
Rear: 7540
Total: 12000
Curb weight of the exact truck on nada guides says curb weight is 6600. Not sure how accurate that is but even if it was 7k, that'd mean the camper was nearly 5k.
We know your F350 SRW weighs much more than 6600 lbs. However thats not the important number for carrying a heavy TC unless your state requires some kind of weight for registration purposes.
The '17 F350 has a 7320 RAWR. RAWR = the lessor of a tire/wheel and rear spring pack. 18"-20" tires can be upgraded for more load capacity however OEM Ford wheel have a 3590 lb load rating according to Fleet Ford specs so your truck will need higher rated wheels.
And of course the rear spring pack will need help also. Lots of different options out here in that area....some good some not so good for carrying a top heavy TC.
That 4331 payload sticker is a gvwr based sticker (front and rear axle) and cannot all go in the bed of the truck over the rear axle. CAT scale axle weights show many one ton SRW trucks empty rear axles can weigh in the 3300-3400 lbs range. Simple math say 3400 lbs less the trucks 7230 rawr = around 3800 lbs max weight.
I 'spect that 7540 rear axle weight is darn close....yer overloaded on tires and wheels.
I see higher rated tire/wheel combo and a better overload system for the back of that SRW truck.