As you probably know, screen enclosures are very common in Florida, due to bugs, debris, and thunderstorms (more debris). If one fits your budget, that may be your best choice.

(Additional note for other folk reading this: enclosures are NOT common outside of Florida. I think 'style' is one reason -- a screened pool doesn't look as decorative as an un-screened one. But there are other reasons. In the West, and West Coast, bugs and debris aren't the problem they are in Florida. Also, most regions north of Florida get snow, at least occasionally, and enclosures that can survive snow loads can cost a lot more.)