From the latest Timaru Herald:

Geraldine - 4 bedroom house - $195pw
Timaru - 2-3 bedroom house with heatpump - $195pw
Timaru - 2 bedroom flat - $160pw
Temuka - 1 bedroom cottage & garage - $190pw
Timaru - 3 bedroom house - $220pw
Timaru - 2 bedroom flat - $150pw
Timaru - 3 bedroom unit - $210 pw
Timaru - 3 bedroom unit - $160pw
Timaru - 2 bedroom house - $180pw
Timaru - 2 bedroom flat with garage - $200pw
Timaru - 2 bedroom house - $200pw
Pleasant Point - 2 bedroom flat - $130pw

These are the private rentals in Saturdays paper. You can visit Ray White Real Estate website and get some more ideas of rental properties around the south island.

Hope this helps!