Haha, sorry Nic! But you can't come to Wellington and not run, surely?! Maybe just pack one set of running kit? ;)
Brooner: Mt Victoria is perfect if you just have the morning. It's right next to the CBD, has a big network of tracks, and nice views over the city from the top :) WOC has a permanent course there too:
http://wellingtonorienteering.org.nz/about-oriente...
The ridgeline and track network extends a fair way south from that map too.