Home/PostalMag/Post Office Photos/Hanapepe, Hawaii Post Office Post Office Photos Hanapepe, Hawaii Post Office PostalMag · Monday, April 01, 2019 The United States Post Office in Hanapepe, Hawaii, on the island of Kauai, serves Zip Code 96716. The quaint and artsy plantation town of Hanapepe was the inspiration for the setting of the movie Lilo and Stitch.