I like to get to Shroud Cay ASAP and spend two days (nights) decompressing from the "real world" lol. Dinghy
up the northernmost creek, preferably on a rising tide.
Then on to whatever suits.
Keep an eye on the weather, as others have noted you may get a Norther which can make it difficult getting back to Nassau. You should be able to get forecasts on the VHF
from various local stations, monitor
channel 16 in the morning.
Buy Steve Pavlidis' Exuma Guide now, and you'll have it all planned including contingencies by the time of your trip.
You also will want the Explorer Charts
if your boat does not come so equipped.