If you camp on the East side, The Washes, you'll have no problem. If you try and camp off of Gecko Rd, the West side, be careful not to travel more than 10' off the pavement. If that. It can be very soft. Especially if you have a trailer.
It might not be much over 100F. It should be busy enough, not to worry about having a Red sticker. Just remember to have a pass. If you don't and you get checked, they may want to check out your stuff.
No idea how to get there from Phoenix. Look on a map and find out how to get to the 78.