Any wing 2003 and up rear wheel will fit your wing. Maybe someone has a wing nearby that can swap wheels. The previous wings had a 180 but they road just fine.
Not sure if you have a flat or just need a tire but if the tire is usable make your first day route around getting a tire at a cycle gear or dealer. Either way ( waiting in the morning ) or stopping during the rally will be on the clock. Getting a tire on the clock is not that bad.