Except that sleep will not happen for the duration of your stay is best. I went in a twin, had a huge tent, a sleeping bag and a foam underlay, the rocks were huge and numerous. Can get quite cool on the nights and the night I was there it blew a gale all night, so if you can't sleep from the stones the noise of tents flapping keeps you up!
Although I must say being awake for the night was hilarious listening to all the drunks trying to find their a/c in the dark, and the noises coming from the porta loos were at times quite disturbing and amazingly loud!
Honestly being completely blotto and collapsing is your only real chance of a good nights sleep!
Did Birdsville once, can say I've done it but haven't got a lot of a desire to do it again.