Don't guess. That link gives you the calculations to do to get the actual exact tire pressure for your truck. I don't think 265/75r16s are going to allow you to go down enough to make much difference. There are thousands of trucks just like yours running around with 285/75r16s and zero rub. I'd buy those and not think twice.
2015 Yellowfin 21 with 2014 Yamaha SHO 250
I personally run Cooper HT plus 285/60/18 on my truck... They're not a 3/4 ton rated tire but I never run my truck at max load... Rancho 9000 adjustable clicker shocks. You could also remove some rear springs and install air bags them you could pump them up only when you have a load. You should be able to "customize" your ride by doing this.