How about MLB-BHI(onight)-LEC-CBP(onight)-AS(onight)-TN(onight)-DN
If you onight at Coober Pedy stay at Radekas the refueller will help with that. The Greek restaurant in the main street upstairs opp the supermarket does the most awsome veal scallopini with way too much garlic
The hill is worth a look & Alice has the desert park (birds of prey show
)
At Katherine do the Gorge & definitely the hot springs near town. There are cabins at a van park near the river for 85 a night.
Enjoy the trip.
Cheers