Martin - I'd recommend anywhere on the Atlantic side from Governor's Harbour and south through Tarpum Bay. When the winds are down the ocean side is calm and makes for great fishing from the beaches.
Also this particular stretch of Eleuthera offers great food options (restaurants, groceries, farm stands), entertainment (Fish Fry on Friday in Governor's Harbour) and awesome beaches.
Rent a house (look on TripAdvisor for example) and expect to pay at least $200 per day for a 2-3 BR home. Rent a car from the home caretaker for $50 per day. More for off-road capable car.
PM if you need more info. And check out my previous reports. They offer good details.
Last edited by MartyG; 10-16-2013 at 08:58 PM.