Insurance for Cleft lip repair?

I have a unilateral cleft lip. The next surgery I plan to do (US based) involves rhinoplasty in raising my left nostril as well as lip revision. I'm looking for some insurance companies known to cover this. I'm from the Caribbean and some local insurance providers isn't known to cover this so please keep in my mind that the insurance should be covered globally. Also, do you have to fight in making a claim for coverage or is it easily granted? Thank you.