Aruba island, Palm Beach, far south Caribbean.
August to early October is the normal peak hurricane season (78% of tropical storms; 87% of the “minor” hurricanes; 96% of the “major” hurricanes). Though hurricanes are rare, rain is not, the humidity can be oppressive and stormy, water may be rough and unclear for scuba or snorkelling and beaches garbed in seaweed.
However, you could also consider the southern sector of the Caribbean which is effectively below the hurricane belt. e. g. Trinidad and Tobago, and the three Dutch islands off the north coast of South America.
n.b. Many Caribbean resorts, restaurants and other services are limited or shut down completely from September to end of November.
n.b.2 Sand drifting across from Africa can create hazy conditions mid-May to mid-June.