Nearest public (sealed) airstrip - Wudinna. Excellent country pub accommodation and an even better bakery - both walking distance (less than 1k) from the airstrip.
Nearest Avgas - pt Augusta (excellent Indian food at the Standpipe), Leigh creek, (if you're staying with them, the caravan park mob will come pick you up), Coober Pedy or Ceduna (excellent oysters, and I think if you are staying at Highway One they will come pick you up - again don't take my word on that)
I have heard tell that you can land a plane on a salt lake but from what I have witnessed, it never ends well.