Good for you! But his max on that Bridgestone tire is 2,910 pounds capacity @ 50 PSI.
So:
LT305/70R16
35 psi = up to 2270 lbs. per tire or 4,540 pounds per axle.
40 psi = up to 2465 lbs. per tire or 4,930 pounds per axle
45 psi = up to 2680 lbs. per tire or 5,360 pounds per axle
50 psi = up to 2910 lbs. per tire or 5,820 pounds per axle
Load the truck the way you normally have it when "unloaded". You, your sweetheart, the puppydog, toolbox full of tools, cooler full of cool, stuff behind the back seat, trailer hitch drawbar, etc. But no trailer. Then go to a CAT scale and fill up with diesel. Then weigh the "unloaded" truck. Then apply the above load/inflation table to your truck.
Example: Front axle weighs 4,700 and rear axle weighs 3,300. So you need 40 PSI in the front tires and 35 PSI in the rear tires when "unloaded".
Next, load the truck for a towing trip. Load the trailer for a towing trip. Then go to the CAT scale, fill up with diesel, and weigh the truck and trailer.
Example: Front axle weighs 4,900 and rear truck axle weighs 5,750. So you still need 40 PSI in the front tires, but 50 PSI in the rear tires.
Warning: If your wet and loaded rear axle weighs more than 5,820, your tires are overloaded. Only an idiot would drive at highway speeds with overloaded tires. /ubbthreads/images/graemlins/eek.gif