Tekapo helicopters will fly in,you would be better off with a group to keep $$ down. So called you use to be able to use the cocky's track by $$. Not sure how easy that would be or if he will let you. It is a good hard walk in/out.
If your after meat animals there is other options which have lots more animals and less $$ and less of a slog, pm me if you choose to. And like Husky1600 said about tahr there are a few around depending on the day and year,that's the chance you take,is a lovely little spot.
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