When you’re in a port for an extended period of time, rent a car.
When you have a car of your own, you can not only see the port of call at your own pace, but you can experience the local culture as well.
Additionally, this a less expensive way for everyone in your party to be together. Even the smallest island in the Caribbean has a rental car agency. If you can’t find an car rental agency on the Internet, contact the port of call’s Chamber of Commerce.