Almost the only way to get here by boat right now is as a paying passenger on a cruise liner from Miami, now that even the ferry service from Puerto Rico has been suspended.
The days of passengers on merchant vessels are long gone unless you happen to have a brother (or even brother-in-law) who owns one. So are the "romantic" days of "working your passage" on a cargo boat. Today's maritime safety and insurance requirements do not permit untrained and uncertified crew members unless they are supervised cadets in training, and merchant ship crew complements have been cut to the minimum for reasons of cost efficiency and safety. The kind of ships that might take on someone without experience or sea time looking to work a passage, are not allowed in US ports or waters any more under the stringent standards recently yet again reinforced in the US.
One possibility might be to join the crew of a charter yacht, but again, few are they which might take on a "land-lubber" with no sailing experience.
Your other option might be "Join the Navy and see the World" - US warships still do visit these shores from time to time.......
Thank you for your reply and the information concerning cargo ships and the laws about them. :disappoin I guess the alternative would be to book a half of a cruise line ticket....