The area is more or less surrounded by extremely inhospitable areas Great Sandy Desert and Tanami Desert to the South and South East, the only reasonable way to leave the region is either to drive South from Broome be prepared for at least a day of absolute nothingness of flat-straight driving before reaching the interesting areas of the Pilbara or East from Kununurra into the tropical and humid Northern parts of the Northern Territory.
Hall's Creek is the starting point of the Tanami Track, a comparatively well graded dirt road that will lead you to the Red Centre and further on to Alice Springs. A 4WD is however recommended, and it still a remote outback dirt track crossing arid areas with very little supply on the way basically only a single roadhouse.
If, and only if, you are fully prepared and equipped meaning a very thorough research about potential dangers and risks, as well as arrangement for fuel drops, the first 150 km of the Tanami Track are shared with the legendary Canning Stock Route, one of the most demanding and remote tracks on Earth. It is a tough 1800 km 4WD drive with absolutely no facilities and no fuel supply through the desert and very far from any civilization. The track will lead you down to Wiluna, 1000 km North of Perth. Do not attempt this track lightly.