picking an island

 Distances (calculator: http://ports.com/sea-route/port-of-miami,united-states/port-of-nassau,bahamas/ http://ports.com/sea-route/port-of-miami,united-states/port-of-nassau,bahamas/):

Miami to Freeport, Grand Bahama, 110 miles

Miami to Bimini 48 miles

Ft Lauderdale to Bimini 50 miles

Miami to Nassau: 259 nm

Miami to Marsh Harbor 220 nm

Miami to Ocean Cay 118 nm

Rentals: 

$500/night, 4brm 4.5 bath, at marina (slip not included) https://www.vrbo.com/4981459ha?adultsCount=6&arrival=2021-06-28&childrenCount=4&departure=2021-07-07&unitId=6200297

$170/night, $1050/week 2brm apartment at marina ($1747/10 days with 12% tax included):   http://oryc.com/index.php?page=3&id=4&cpage=1&photo=103 Marina at this property: 

Daily Marina Rate :Up to 50’  $45 + 55c per kwh used = $450/boat.  Includes free shuttle to beach.  Wifi for a fee, pool and jacuzzi, onsite bicycle and car rental, laundry facilities

Doesn't list slip fees.  Only king suite has a kitchenette and there is no stove, just a microwave: https://runningmonresort.com/marina

Official ports of entry: https://www.bahamas.com/faq/official-ports-entry

Slips: 

 Resorts World Bimini's Fisherman's Village Marina features 136 floating boat slips that accommodate vessels up to 128 feet in length. It is also home to the resort's retail marketplace, 

 Bimini Big Game Club Resort and Marina offers 75 slips, capable of accommodating yachts up to 160 feet with a controlling depth of 9 feet as well as a variety of amenities such as a bar and grill, shopping center and swimming pool.