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Having towed 5th wheels for long time, check the following:
1. Most listed pin weights are for "stripped" models without options, and no fluids, food, or gear.
2. Check the load ratings on your rear tires (many models in the 30-32' range will overload 16" 8 ply tires). 10 ply tires will be overloaded by some 32' and bigger trailers.
I tow a 32' Alpenlite (14,999 gvw)with an 05 F350 sc srw 4x4.
Moderately loaded, full fuel, approx 20 gals of water, gcwr is 20,648# Rear axle is 6752# on a 7000 rawr (18" 10ply tires).