Ken,
I've just got back, but unfortunately did not manage to go flying. However the outfit there is called the Barbados Light Airplane Club, telephone 420 4359 (sorry, don't know what the international dialling code is).
I called them a couple of times when I was there but only got an answerphone, so it might be a good idea to try getting in touch with them as soon as you get there, or even before you go.
Didn't see Concorde there either, but still had a great time.
Regards,
Dave