I'm not familiar with the
route you have planned to take nor do I know where you currently are.
I've always made my way to Mangrove Cay as my last stop, and then went on a nor-westerly course to pass over the Little Bahama Bank. This is some ways south/southwest of Walkers, but it is a simple no fuss
route.
The guide
books do show some
offshore routes east of Walkers, but I have not done those.
The Gulf Stream is right adjacent to the Little Bahama Bank. One overnighter should put you on the latitude of Cape Canaveral. At this time, I start heading for the coast. A second overnighter will have you offshore the J'ville area. One more overnighter should get you to Charleston.