Ripit,
My rig is not a pop-up, but is about the same weight as my bro's Outfitter on a long bed. I've been in a lot of sand. First, there is sand and sand. This can change even on the same beach or dune. So, I have to 'feel' the circumstances as they come. I'm a long time jeeper and have deflated tires for sand for decades. A truck camper is just a lot heavier with more ground pressure per the psi in the tires. My average sandy road and tight sand running pressure is:
front on 305x65R16's is 30 psi. There is a bit but not too much sidewall flex.
rear on 375x55R16's on 12" wide rims (so called super singles) is 28 pounds. Here is a pic with this pressure: We drove the Mojave Road, 146 miles with this pressure:
On very soft blow sand or dunes, I take it down to the lowest threshold (without beadlocks) I think my set up will take:
front: 22 pounds
rear: 18 pounds. These wide high floatation E rated, 3750 # load rated tires can go lower than the little 305's on 7" rims can.
Yes I did this when I got tangled up with some sand in the Owens Valley, and pulling a trailer too.
after lowering the pressure as above:
This is the sidewall deflection at the 18/22 pound threshold. You wouldn't want to drive to New York this way:
Depending on your sand, your tires, your rims, your GVW/per axle loading, your self extraction ability, this is the basic high and low range of lowered pressure for my rig, which is similar in weight to your rig.
Jeanie and I are planning a 16 week, around the U.S. in a truck camper, clockwise, Sept. 1st to New Years Day trip, touching all the boundary states and attempting to camp on every beach that will allow it, including So. Padre. I have compressors and a 25 pound CO2 tank to get the tires back up, over and over again. If we lose a bead, a 1K pound ratchet strap or ignited WD40 will get us back on the rim. BTDT. I will post a T.R. when all is said and done.
One other thing to consider is HumVee (MilSpec) wheels. They start out with 8 on 6.5" holes and will fit on a full size pick up. You can build up the wheels to include MilSpec bead locks. The only thing stopping me is if they will fit having a 7" back spacing. I think my stock Dodge wheel has a 6.75" back spacing. When i dump my unit bearings and get free wheeling hubs and upgrade front axle parts I may use a 1/4" spacer so the brakes will clear the B. Spacing. The only good part is they are cheap and can come with Hummer tires that have 80% tread left (if you discount the bullet holes!) and are 34" tall. We'll see.
Good luck on your trip. It sounds like something we want to do and will be doing.
regards, as always, jefe