Yes
Keep going
Would suggest IGY Marina In Rodney Bay St. Lucia (they also have protected moorings), one of the
Marinas in
Martinique or there is always
Grenada.
I have lived in Barbados for 3 years and would not leave an unattended
boat there unless you are comfortable leaving it on a hook. Maybe you could arrange someone at the Yacht Club to keep an eye on it but risky for many reasons.
Good luck.