Good luck. The one year I lived in Hawai'i, we set off insect bombs every Sunday morning on our way out the door for church, spent the rest of the day at the beach, and came home after sundown to sweep up a gallon of dead cockroaches - every week.
As the locals say... lucky you live Hawai'i.
I did have a couple of geckos that roamed the house (not pets, they just came in somehow, just like the cockroaches) and would chase down and eat the cockroaches. Maybe you could entice a few of those onboard?