Like everyone has said Oamaru hut will be chaos, but a bit more leg work past there and you'll find some great hunting, Jap creek, or up the Otorehinaiti river, over towards the Mangapapa even.
I would check with helisika to see if they are flying anyone into Jap creek, and check the kaweka booking calendar for bookings into Otore biv, will give you an idea of others in the area or not so you can make an informed decision.
Good luck!
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