Hmmm, a trip down to the Grand Canyon from Burning Man. A day down to Vegas from Reno, and I'd bet you would stop in Vegas for sure, then about half a day over to the canyon itself (South Rim is best for first timers). Visiting the canyon, well, that could take eons. Three days travel time and a couple days to see the sights, that's conservative. A week?
Would be quite an excellent roadtrip however. And then there's the National Parks in Utah, wow, if you have time.
Hope you'll be at Burning Man for the entire week, it changes daily.
See you at home!
Some sunshine, some dust, a little paint and a tutu. Yeah.