Get Involved, I would recommend applying for an Australian ATPL.
Although the Aussies are implementing a new Part 61 I believe it is still possible to have your FAA ATPL converted to an CASA ATPL by doing an IR exam, ATPL Law and an ATPL flight test which can be in a light twin.
Following this apply for a NZ ATPL using TTMRA....google this to see what this means....if and when you obtain NZ
PR.