I suggest you check this websitehttp://immigration.gov.tt/applicationlo ... les&id=694
On that page one can see that persons from NZ do need Visas, but the page also say:
"Of the exceptions mentioned above who require entry visas, a waiver of the visa may be issued on arrival in Trinidad and Tobago to those persons on application, in respect of Australia, New Zealand and South Africa. The others may apply provided they obtain prior approval from the Immigration Division.
REQUIREMENTS FOR A VISA WAIVER:
-Completed Visa Form
-One passport size photo
-Valid Passport or Travel Document
-Valid Outward Ticket
-Sufficient funds for upkeep during stay
-Proper Local Address
-Reason for visit
-Visa Waiver application fee – $400.00 TT.
In case there´s no embassy nearby, and if no other from NZ respond, you might call an Embassy of T&T to get an answer by phone. Good Luck