We tow a 13,500 lb 36' 5th wheel that puts 10,800 lbs on the trailer axles and 2,700 lbs on the pin. We ordered our truck specifically to pull this 5ver within its ratings. According to certified truck scales, we hit the road at 10,380 lbs GVW (10,500 lbs GVWR) and 21,180 lbs GCW (21,500 lbs GCWR).
You will be well over your GVWR with a 3/4 ton truck if your pin weight is anywhere near what you state. If that doesn't matter to you, that's your choice and you have to live with the consequences. We chose not to.
Rusty