My $.02 worth

That sounds like a pretty big trailer that you have ordered.
Generally it is recommended that pin weight should be around 10-15% of total trailer weight. If your pin weight is 2300# at 15% of the total weight, then the trailer weight would be somewhere over 15000#.
I believe your new truck has a recommended maximum trailer weight of 13700# so you will be over limit there as well.
While the payload goes up with the F350, the maximum recommended trailer weight actually goes down to 13600#.
Judging from my own experience towing a 30 ft Prowler 5th wheel, I believe the truck will handle the load but Ford is building in a safety factor to cover product liability lawsuits.