Via Miami
It looks like this flight is offered every day of the week. RT flight MIA-MHH is around $306, pending travel dates.
via Nassau
Looks like this flight is offered every day of the week, flights are earlier in the morning. You'd likely have to stay one night in Nassau on the way to Green Turtle. One way flights from $100.
via Ft Lauderdale
Flights available Mon, Thurs, Fri, Saturday. One way flights from $129.
Via Atlanta
It looks like the flight is available every day EXCEPT Wednesdays and Sundays. The most expensive of the major airline options, starting at $535 RT ATL-MHH, but could work if you have a bunch of miles to spare!
Via Ft Lauderdale
Flights to both Marsh Harbour and Treasure Cay on Sundays, Wednesdays and Fridays (from Ft Lauderdale Exec Airport). They use Piper Chieftain Aircrafts and can accept 7 people onboard our Abaco Routes. A one way is $319 and a roundtrip is $599.
Via Ft. Lauderdale
Scheduled flights from Ft Lauderdale Mon, Wed, Thur & Fri cost one way is $330.00 & Round Trip $530.00.
Via New Smyrna
Flights from New Smyrna, $395.00 per person one-way or $790 per person round-trip. They don't have their schedule locked in for June yet.