http://www.aa.org/default/en_about_aa_s ... &pageid=24
says there is a group there but I can not find much else. I did find this on another website:
To make arrangements for a meeting while on Anguilla, contact Vivane Masshardt at Tel: 264-497-6827, La Sirena Hotel and ask for Vivane.
Feel free to contact Viviane if you have any questions. Thank you.
Anguilla is very close to St. Barts - if you give her a call maybe she will have some info.