TS Dorian is heading WNW--possibly towards Florida, but it's too early to tell.
Update (7-26): Dorian is heading west and expected to weaken. The spaghetti models are pretty well grouped together, except for one heading north. (They often don't agree that much.)
Update (7-27): Dorian is now a tropical wave.
Update (7-28): The remnants of Dorian are heading WNW (towards Florida), and it may re-strengthen.
Update (8-3): The remnants of Dorian are heading NE up the east coast. It was briefly a tropical depression today.