OK. These are the places we used our card:

Tico
The ATM in front of Riteway
Riteway
ALGLINK (boat wifi)
French Deli
Cooper Island Beach Club
Leverick Bay Marina
The Restaurant at Leverick Bay
Cow Wreck Beach
Neptunes Treasure
Anegada Reef Hotel (an impression was made of the card here)

These were the only charges made before the fraudulent charges started showing up.