I ended up in a REALLY soft sand wash in Moab a few years ago with the camper on my truck. I was running 235/85R17's at 70psi all around, and it sunk like a rock. In low range, I could spin the tires slowly, but went down faster than forward or backward... I dropped the pressure to 35psi all around and drove out like it was paved!
I think many of you are SEVERELY underestimating how much of a difference airing down makes, and how "low" you can safely go... Sure, you can run HUGE tires, and lots of lift to clear them (We're talking about a Chevy, not a Dodge...) and then power through when you have to, but even on normal size tires, if you air down, you'd be surprised at how well your truck will do in soft sand. I have beat an empty 3/4 ton Chevy on 265/18's pretty hard at 15psi, and never lost a bead. If you're driving even reasonably smart, 10psi is possible. I ran 4.5psi in my Jeep on the dunes, no beadlocks, no problem. (286/75R16's)
Regardless of what vehicle I'm in, or how it's loaded, if the sand gets soft, I let out some air. Makes life easier for the truck too, since it takes a LOT less throttle to move across sand with lower tire pressure. I carry a decent (not great) 12v compressor so I can air them back up to 45psi or so before I roll far down pavement. That's enough that I can run 55mph or so until I get to a station with a real compressor. I plan to invest in a better (faster) compressor for our Baja trip this spring, but bigger tires are not on the list.
Try airing down! 285's should get you anywhere you need to go at 30psi, but if you really get screwed, you should be able to get them down to 15 without issue, and even lower for short term "emergency" situations. You'll be completely surprised how much better your truck does with proper pressure for the surface. And you're not going to hurt the tires at all at lower speeds. Just don't do 80 down the highway like that for hours in 100F heat...
Airing down also has the added benefit of greatly improving the ride over washboard roads! Actually, to go a step farther, the military did experiments and found that washboard is generally the result of vehicles running too high a tire pressure for the road surface. Running a convoy over a washboarded road with proper (lower) tire pressure actually HEALED the washboard road!! So you're doing good to air down some even for gravel roads!!
I keep saying that I need to invest some time into making a rear axle only CTIS system for our trucks... It would make life so much easier, and because they're all full floating axles, it wouldn't be that difficult...
Good luck!
Chris