If you want something of typical outback Australia and you are mid fuel you could try staying at farmstays that have airstrips. Do a search say of "B&B with airstrip Australia". There are also many towns where the airstrip is spitting distance and you can get the local publican to collect you and take you back to his pub for the stay.
There are some threads here where posters have waxed lyrical about staying at towns close to Lake Eyre for example. Start a thread specific to air accommodation and I am sure you will get some interesting pointers.
Edit: I should have said a search of "farmstay with airstrip australia". This will yield you better results.
Last edited by truthinbeer; 15th Sep 2012 at 07:39.
Reason: Additional information