We do not currently know of any synonyms for Hawaii.
The proper noun Hawaii is defined as:
An Oceanianstate of the United States of America. The capital is Honolulu, on the island of Oahu. It is the fiftieth state to join the United States. The nickname is the Aloha State. It is located from 19° to 23° N latitude, with the eight main islands from 155° to 162° W longitude and including many smaller islands extending westward.