The information on this page relates to the July 2002 event - it is kept online here for historical / reference purposes only.
There is a wide variety of accommodation available in Broken Hill and Silverton, ranging from Hotels to Camping Grounds.
For accommodation information, I would suggest contacting the Broken Hill Tourist Information Centre:
You might also try browsing the Wilkins Tourist Maps page for a list of accommodation options.
Please note that there is apparently another event starting in Broken Hill on July 14th. If you are planning to stay in Broken Hill on the Sunday night (which would be strongly advised, rather than driving all night), I would suggest that you make sure your accommodation is confirmed well in advance, to avoid any issues.