I don't know the correct answer to this, but I know what has worked for me. I run an 02 F350 SRW with the 7.3 diesel and it supposedly weighs in at 1,200 lbs of engine.
OEM tires are 265/75 R16. The best tires, and the best treadwear life I've enjoyed have been with E-rated Michelins. I got 51,000 miles out of a set of LTX M/S and just rolled 44,000 miles on the current set of LTX AT-2s, and they'll easily see +50,000 miles. Each set has a max air pressure of 80 psi.
I run them at 80 psi on the highway when loaded and will dial back to "only" 70 psi when lightly laden.For "around town", I'll run them as little as 50 psi. My understanding is that any tire reaches its maximum weight rating at the stated maximum psi, so my personal "policy" is to run 'em at the max when up and running down the highway.
Notably, I do NOT air down below the 70-80 psi when off pavement. I have run literally thousands of miles on graded gravel county and USFS roads in Montana, Idaho, and Wyoming and have never suffered a cut tire flat (I did pick up a drywall screw once). I did once air down to around 40 psi, if memory serves, on a long and badly washboarded FS road, but I aired back up as soon as conditions allowed. My personal experience is having suffered more cut tires when aired down than with them fully inflated (where other trucks in my past were involved with the air-downs). I think this is the reverse of what most would expect, but it's what happened in my cases.
Foy