You should check the Pilot Charts for the Atlantic/Caribbean. I would trust those over which way the jet stream's going. These observations are the result of years of recording, before we even knew there *was* a jet stream.
Here's a link, just dial up the month(s) you want:
Atlas of Pilot Charts for the Major Oceans of the World
Jet stream usually divides weather systems, but what's happening on the surface is often very different from what's happening six miles up.