River and Sand,
I've not had to air down the trailer....yet. This pictoral was not planned. Those pix are deceiving as I was on my way to Death Valley, just following an old narrow gage railroad grade and it disappeared into a dune. I tried blasting UP the dune at street pressure, Rat Patrol style, hoping I could get back to the highway. No dice. Plenty of power, but not with 40-65-80 pounds pressure with 16K pounds pushing down on the 8 tires. Too much ground pressure.
Tires now-o-days are tough cookies. I don't mind beating them up a little. They'll wear out before they give out, unlike the glass, nylon, and rayon predecessors. I'm remembering not-so-fondly, 47 years ago, my first set of tires on my 1949 Willys Jeep Utility Wagon: 7:00-16 non directional cross country (NDCC in milspec) on real narrow combat rims. Rayon cord. Absolutely the worst traction on any surface. Stiff as a board and didn't air down well at all. They were so stiff that air pressure was optional.
That was then and this is now.
Many E rated tires have very stiff sidewalls to carry the load. Good for the street, but you must air down a little farther than the numbers might suggest to get the same 'floatational' effect. Generally, D rated and really wide tires don't have to be deflated as far for the same floatation.
On rocky trails, I try to fine tune the pressure in the tires to a balance between rattling your teeth out and too mushy. If it's just a little occasional roughness, I just leave it at street and go slower, bobbin' and weavin' until conditions improve. Washboard is my least favorite. for that I always air down to the point that I can stand it. A lot of numbers thrown down around here. In the end, it's not about numbers, but a feel; captured by experience.
By the way, that experience slowly fades if you don't use it. How do I know that?
regards, as always, jefe