Hi Chris. I sincerely doubt that you will find a paid position on a recreational sailing boat. Usually, the 'hired' crew are required to support themselves offshore, through the purchase of food, drinks, general supplies, safety gear and so on.
To pick up a paid position, you will generally require either extensive experience and probably certificates. However, getting qualifications can be very worthwhile. The USCG has internationally recognised qualifications, and I think there are training organisations who will teach you in Florida.
Jagging a gig on a private yacht or cruise liner can be very rewarding, but as with most careers, enthusiasm is not a substitute for bits of paper.
Meanwhile, I hope your injuries are not permanent and that you will have the opportunity to sail away. In the interim, I suggest you get down to the local yacht club and look for crewing positions. It's easy to get a crew slot, but don't expect pay.
"if at first you don't succeed....Redefine success"!