On a previous trip to many parts of Belize (May and early June) including Caye Caulker, I didn't get even one bite. The only one I got was the night before we left while watering my own backyard.
My daughter got one bite on her ankle in Placencia after walking on the beach at dusk. We used Avon Bug Guard Plus (not skin so soft) It also has 30+ SPF and is waterproof, so the sunburn situation is taken care of at the same time. We used it just in case, but really never saw many bugs at all.
I read an article somewhere that showed the statistics on Dengue fever... Hawaii had a high rate...
Guess I will stick to Belize!