Having a husband whose career is in global development, it is always a challenge to find a destination that (1) he hasn’t already been and (2) is “worth” yet another plane ride. But the promise of a lesser-traveled Caribbean island with our own hillside villa and infinity pool was enough to entice us both to make the trip to Antigua.

After assurances that July weather in the Caribbean is generally mild, we were met with five sublimely ...