Think you'll find there's not many options on getting round the island From Honolulu go along K' highway towards Hawaii Kai, round to Kailua and then up the windward side to Haleiwa and down the middle past the Dole Plantation..... I'm not sure how you bypass highway 1 from Pearl harbor back to Honolulu...?
I found the roads narrow, windy and few bike lanes - quite scary. Talk to the Bike Shop on south King street on the best options....