I want to spend a few days in the Australian desert and would like to avoid a tour group: to sense the desolation, the vastness, maybe see an Aboriginal community. Where should I go and how?
Sure it is! It just might be a little more adventurous than you bargain on. I've done the whole trip around the coast, up the middle, out west and most of the inland east too just in a car/van over a number of years.
Loads of great places and people. Christy has done it on her own too: http://journals.worldnomads.com/crustyadventures/
Have a look at http://vantastic.worldnomads.com/ as they list all the various state based tourism bodies, most of whom have excellent web sites like http://www.visitnsw.com
Or Travellers Auto Barn can provide vehicles and advice: http://www.travellers-autobarn.com.au/
Enjoy. It's a wonderful country. almost 11 years ago
Central Australia is absolutely beautiful, you could fly into Alice Springs and hire a car in Alice Springs and drive around from there or drive from your current location. Visit the tourist information centres in each town to get the local tourism information.
Be aware that Australia is huge and if you are near the coast it will be several days drive to get there. i hope you get to see Uluru it is stunning and breath taking!
For more infomation check out this excellent website http://www.travel-australia-planning-guide.com/ about 10 years ago