You can use http://www.nabis.govt.nz to get an idea of the distribution of a certain species. According to this, rig should be around Dunedin too. Although it may show that a certain species lives in the area, some species are unlikely to be caught from the shore (i.e. they prefer deep water).
It wouldn’t bother me if I lived and fished in Dunedin – you definitely don’t need kingfish or snapper to have great fishing.