Abacos island family getaway

[Victor75]

Hi, can anyone recommend me a good beach not crowded on Abacos island where I can take my family of 5 from Fort Lauderdale (2 adults, 3 children) and spend a week there anchoring in the area. The boat is 26 ft power boat with cabin. We would love this to be your family getaway where the less people on the beach the better. At the same time we have to have a marina and a grocery store near by for fuel and food. Planning to go there in June 2013
I appreciate your time and recommendations.
Victor.