Thanks to all of you for the tips and advice! My first burn came off without a hitch; it was more than I hoped for! The people really made it for me; everyone was so accepting, helpful, and absolutely without judgment.
I received a message from another burner asking how it worked out with the cargo trailer, and after responding thought I should share:
My plan was to stay in the trailer and keep out of the vehicle. I stuck pretty closely to this, but the dust is diabolical. Wind pushed it into everything, even with the trailer, including roof-vent, sealed tight. The playa is amazing, and seems able to travel through solid materials. When I got into the fj at the end, even though I'd mostly stayed out of it, a thick blanket of playa covered all. To be fair, it wasn't as thick as in the trailer, but it was still thick enough to make those black seats look silvery-white.
I stayed in the cargo trailer, using a cot with sleeping bag; very comfortable! Sleeping in the trailer when the sun is up is not possible, so I spent my days outside roaming the playa, checking out the art projects, the various instructional classes, and any other events that looked fun in the guide.
I noticed a lot of people put blue construction/masking tape around their windows; this might have helped keep the dust out. The thing is though, it's just dust, and it can be vacuumed/washed off. It's unavoidable, and I wouldn't put more effort into keeping it out than it will take to just wash it off. In the end, it was just part of the experience.
Things I'm glad I brought:
1. Bike. Something with a coaster brake (pedal backwards to stop, no cable-operated brakes), and only one gear (no derailleurs/shifters). The playa is hard on mechanical things; keep it simple. Also, a lock is important; nothing too serious, just enough to keep opportunists from borrowing your ride.
2. Lights for the bike. Colourful lighting! Be seen. Light the frame and wheels. A blinky light for the back and at least a minimal headlight help too. I was pleased with what I brought, though it was a challenge to keep it working. Also, be a little creative, as it's hard to find your bike in the dark when there are hundreds of them.
3. Folding table & couple of chairs. Expect company!
4. Cooler. One made for desert temperatures will reduce the ice-budget. Based on the advice of another burner, I grabbed a Lifetime 55qt; worth every penny.
5. Grey-water evaporation bin: a dark coloured bin -a cat litter box works- can be used to hold grey water. The sun heats up the box, and the water evaporates; this worked very well. I ended up with almost no grey water to pack out.
6. Water: I budgeted more than needed, coming in at about 25gal for 8 days. This is roughly double what I needed, but I'm not complaining. I needed less because other camps graciously filled my mug with beer, margaritas, gin & tonic, water, coffee, etc.
7. Extra food to share. Some people aren't ready for this; being able to invite the starving neighbours over to shovel a few pepperoni sticks, toast, & water into them makes everyone happy.
Things I wish I brought:
1. Shade structure for over the trailer. This may have made day-sleeping a possibility. I'd try a pop-up awning, but be fully prepared to steak it to the ground with rebar or something very strong to keep it from trying to escape in a high wind.
2. Wind break structure for around the butane stove; heating stuff up in a high wind is very challenging.
3. Lights for your body: It's dark at night, and you'll get run over if you're invisible. Also, be creative; don't just bring a headlamp. I had a headlamp & a couple of ankle lights, but it wasn't enough. One-of-a-kind lighting means your new friends can figure out it's you in the dark.
Thanks again everyone! I thought this would be a once-in-a-lifetime thing... rethinking that.