I think it's gonna be the limitation of the F53's frame itself, and not just the hitch?
You can probably get any one of the universal fit "Super Hitches" with a 2.5" shank that will have that hitch rating... But, if you just bolt it up to the rigs stock location and don't do any reinforcing of the frame itself, you are essentially in the same boat.
But, if you are going to do all the extra custom work to do that, more power to ya! V10, 14 year old rig... GCWR is probably only #26,000 at best. I think the #5000 'tow rating' is more for the vehicle and not just the hitch??
Good luck! Mitch