My 2 cents:
I think virgins have enough to do without creating their own large shade.
Plenty of neighbors make large shade areas, just make a small shade area.
For Austin, Texas fly in camping, I was able to fit a small tent & a large tent shell to cover it in a check-in duffle. You can also purchase this stuff at the huge KMart / REI etc, but then what do you do with it after? I'm sure someone will take it if you ask your neighbors early enough if they'll want it later. My set up gave me enough morning & heat shade for my sleeping tent & a small place to kick it when at my camp. You'll be so busy, you won't need that much other than a cool place to nap & sleep.
Rental places hate hate hate playa dust. Expect a cleaning fee. Better than that with an SUV use the inside of your vehicle as a "dust safe area" / lock box only once at the playa.
We've used cargo vans for the last 8 years & always pay the cleaning fee. If you disconnect the overhead light fuse, you can leave the sliding side door open when there's no dust storm & tarp over the whole thing to make shade.
Reno has tons of camping & building supply resources. Just figure out what to do with what you buy before you're trying to leave. I have some nice bikes that forgiegn burners gave me. People will be more likely to say "yes" to taking an extra cooler earlier in the week than when everyone is packing up, tired, and realizing that their vehicles are overloaded already. You'd be surprised how many people will say no even to a nice free tent on Monday after the event.
Also Bob has this neato desert structure info: