With American Airlines in lie flat seats via Miami starting at 1080$. Miami to Caribean is a Standard business/first class recliner seat.
If you want the lie flat seats to Miami, you will have an overnight stay in Miami.
It seems that this works best with an outbound flight on a Tuesday and inbound on a Monday.
You may as well stay a few days in Miami, the ticket will then cost you 1320$
VALID FOR TRAVEL COMMENCING ON/AFTER 09SEP 19. TRAVEL ON THIS FARE COMPONENT MUST COMMENCE BY MIDNIGHT ON 20NOV 19.
IF THE FARE COMPONENT IS ON ONLINE CONNECTIONS/INTERLINE CONNECTIONS TRAVEL FROM TURNAROUND MUST COMMENCE NO EARLIER THAN 24 HOURS AFTER ARRIVAL AT TURNAROUND.
1 STOPOVER PERMITTED ON THE PRICING UNIT ONLY AT THE GATEWAY IN MIA AT USD 50.00/CAD 50.00. CHILD/INFANT DISCOUNTS APPLY.