The Dominican Republic is a beautiful place, but it's not exactly th place where you want to be venture outside of the hotel complex. Most people don't stray. But you'll be fine - don't let this worry you. A friend just returned and had a wonderful, safe time, but stayed on premise. As for quilt shops - don't think there are any. I searched all over the islands in the Carribbean over the years and they don't have shops like we do. The best I could come up with was a dry goods shop in Aruba and at that, they don't really carry cottons suitable for quilting. However, I could be wrong..............
Have a wonderful, relaxing time and enjoy that sunshine and warmth!