Nice thread about self-deploying and AT etc. but perhaps you might consider that self deploying a helo by air is a bit limited if once you get to your remote island, and the infrastructure has been destroyed or wasn't there to start with.
With the large distances involved in the Pacific the RNZN has/is investing in a new fleet of helo-capable
ships (I know I used the dirty "s" word on a thread with AT) such as
HMNZS Canterbury (L421) - Wikipedia, the free encyclopedia
This should allow them to take stuff to an island and meaningfully help once there for a a reasonable period of time.