We have make this run both ways about twice a year. I agree with Dave852, the most traveled route
north of Andros is best for night sailing.
If crossing the Stream as north as Gun at Cut, we prefer to sail across to North Key Largo
and than south inside at Hawks Channel to escape the current
We did try to take our Belize 43
with 4'3" draft
through South Bight from the west. It was good we first tried from this direction as we only made it about 5 miles before coming up to a narrow channel through the flats marked by small steaks. This channel was deep enough but, we could only get one hull
in it. We gave up after a couple failed attempts with a full moon high tide.
After this, we did go around the south end of Andros. This is uncharted but, we had good light. To stay in comfortable depths, we ended up sailing so far south, we were close to loosing sight of the low cays on the south of the island. This works but, you need good light. I had printed out Google Earth
photos of this area showing some channels close to the south of Andros but, without coordinates, was not comfortable trying this with the winds we had.