With the ocean lapping gently out front, the Wavecrest Resort is just off the main road and is as low-key as its host island. There is no beach, but the views are sweeping. Each unit is rented (and decorated) by the owner (find listings online). Look for it east of mile marker 12.
All units have full kitchen, sofa bed, lanai (verandah) or balcony, and use of the tennis court. Only some have internet access.