on our own in port

we are cruising Royal in November on Liberty. In most ports, we choose something pretty close to the ship and do "our own excursion". ie: grab a taxi and go to a pre-chosen site. sometimes we just walk off the ship into the local area. I am concerned about doing this in Jamaica. we have been once before and took a ship's excursion to Appleton Estate. the tour was amazing but the loooong bus ride was not what I had in mind. don't want to do Dunns falls or tubing. we like a nice beach, some local shopping (I want some coffee and rum cream) and maybe see something we don't see at home. We are not into large crowds and crowded buses. any suggestions?

Jamaica has 3 ports....which one are you at?

Falmouth

I have seen some recommendations for Red Stripe beach and Hampden Estate Rum. are these easy to arrange on our own or do we need to have a tour booked?