I have been involved in running a Dunedin / University of Otago site for programming contests such as the New Zealand Programming Contest, the ANZAC practice rounds for the ICPC contest, and the South Pacific Programming Contest (also leading to the ICPC).
Normally, contests will run from 2pm–7pm on a Saturday afternoon. We hold the contests in Lab E of the Department of Computer Science within the Owheo Building at the University of Otago.
University of Otago Dunedin campus map.