Karumba to Chillago via Burke Development Road.

It's a good dirt formed road about 560klms, and that's the distance between fuel too. When you get to Chillagoe, visit Tom Prior at the BP bulk fuel depot just on the edge of town, he is a living legend with his car and truck museum.

Pretty easy drive, but there are absolutely no facilities along the way, and you are not likely to see much (if any) traffic, so don't expect any help if you get into strife, and don't go if you are uncomfortable with isolation.
No specific camp spots, but we pulled off to the side of the road about half way between Dunbar and Chillagoe and there is plenty of flat space.
If you don't have to go straight to Chillagoe, the trip across the Mitchell River and up to join the Cape developmental road is an interesting one.
Cheers