Look on sites like Craigslist and indeed.com. Do a search for LTC, go to their individual websites, and see which ones are hiring. I periodically check here and there isn't much traffic on this part of the forum.
there are some LTC places here - but I feel like you have to actually know people here to get into these places - the job market is really tight right now in Hawaii esp with some local hospitals closing - you could look into staffing agencies that staff nursing homes - and then you can get connections and find your way into working in one of them.
job market is EXTREMELY difficult. I don't want to discourage you but its true. Also, I've heard about nurse managers picking preference with local nurses. Keep trying though, hawaii is a great place to live.