Here is a fare alert for American Airlines Miami to Bridgetown, Barbados BGI at $184.36 round trip with nonstop flights. This low fare has a long season of availability from January into June 2017.
American Airlines Miami MIA – Bridgetown, Barbados BGI
No other alliance airline even comes close to this low fare deal. JetBlue has flights from Fort Lauderdale FLL at an even lower $165 round trip.