Did you go on Jet Blue website and see about a connection on Seabourne? Last year, they were doing a connection from SJU on Seabourne. If that is not available, I would bail and go for AA out of Miami.. Although frankly, not sure why you're messing with Jet Blue connection anyway. Personally, I much prefer a nonstop.. It's not like it's a long drive from West Palm to Miami..
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