I can tell you from experience that if you ask either the vehicle manufacturer or the tire manufacturer they will tell you to go with what is on the door. Personally, I would go 5 to 10 PSI over what is on the door since tires only leak down and not up, no pressure guage is exact and it seems to be a lot less damaging to have too much pressure than not enough. Since the vast majority of LT tires on the market are Load Range E I am guessing that is what is on your truck and they are rated for 80psi. I would not fill them past 50 PSI under any circumstances. All it will do is make your ride rougher and possibly destabilize the vehicle that was designed to run softer tires. If you are old enough to remember the Ford Explorer/Firestone debacle it was demonstrated that if you ignored the factory rating and filled the tires to their rated pressure the Explorer became unstable and much more likely to roll.
If the truck had been equipped with LT tires from the factory the door sticker would call for 36psi and the max on the LR C tires that came on the truck would be 51psi.
I am running a similar tongue weight to what you expect to have and find that 45psi seems to work well.