All-Inclusive Caribbean Resort Recs?

Hi all,

My husband and I are planning our honeymoon for late June and we contacted a travel agent for some help. We gave them the guidelines of adult only, all-inclusive, Caribbean location, minimal nightlife scene, budget of $7K, and somewhere like Turks & Caicos, Bahamas, or Virgin Islands. They came back with mostly Mexico and Jamaica recommendations because they are cheaper, but we've just read a lot about certain areas of Mexico not being super safe right now, so we'd like to go elsewhere.

Any recommendations for a safe island within our budget? We'd be flying out of southeastern US. Thanks everyone!