There are two options for campers:
The Blue Nile Sailing Club, Nile Road; M: 0192207565, charges US$5 per tent, plus US$15 per car. Motorbikes park free.
On the outskirts of Khartoum is the upmarket Jebel Aulia Campsite; M: 0900914148, you can pitch your own tent for US$ and make use of the facilities, or opt for full board in one of their luxury tents for US$60.