Dan, I'm from the east coast and admittedly have limited experience off-roading on our western public lands but I have been driving on sand beaches along our NC coast since the early sixties. Also, I spent two years with Uncle Sam playing around the Chihuahuan desert of southern AZ in my youth and we've visited the Four Corners area several times since retirement (thanks for all your tips and photos). My prior two vehicles were 05 and 12 Tacoma 4WD double cabs with the TRD Off Road package so fairly familiar with what you have.
I don't think many of those giving advice here have noticed the vehicle in your sig - 2013 Tacoma TRD Off Road. The TRDOR package was most common on 4WD Tacoma's but was also available as an option on the two wheel drive models and I'm not sure which you have. Even if yours's is 2WD, it came standard with an electronic locking rear differential which will send power to equally to BOTH rear wheels when engaged. If you're unfamiliar with it, get your owner's manual out and read up on this feature. Posts regarding open differentials and rear wheel spin don't really apply here. I'm also fairly certain your truck has a feature known as Crawl Control. This is a really slick tech that controls wheel spin via the ABS braking system when activated. Check out the details in the manual for this as well. If your truck is 4WD, the low range transfer case, locking rear diff and Crawl Control features will get you through a lot of questionable terrain.
Personally, I'm not a fan of the recommendations to 'just apply more power if you start to lose traction'. The BFG's you're running will quickly bury themselves when they start to spin resulting in the truck's frame contacting the ground. Once that happens, extrication gets much more difficult. I'd suggest stopping immediately at the first sign of tire slippage then get out and lower your air pressure down to 12-14 psi. Actually, I'd do this BEFORE getting into trouble. I always air down when going off road for any distance. The ride is much better, the chance of getting stuck is minimized and it doesn't do any damage to the tires at the reduced speeds you're driving. Don't be afraid to disconnect the camper of necessary - you can always figure out how to get it freed up as long as your truck is mobile. Carry a couple of tow straps (those with no metal hooks) and a soft shackle or three should you need to extricate the trailer.
Carpet is better than nothing but, if you plan to spend much time in sand, I recommend at least one set of traction boards. Good ones aren't cheap, $300+/- for a set of MaxTraxx but neither is a tow or damage to your truck and/or camper. You might also want to consider adding a Come-a-Long to your kit.
Looking forward to your trip reports and photos on the new adventures. We hope to be back your way in early summer.
Al
