Looks like about 34nm based on a quick route
plotted in PolarView on my Mac. Maybe that helps.
I'm based east of Lulu's and that is as far west as I have traveled by water
so far. But that won't stop me from stating what you probably already know. After you sail across the bay and reach Bon Sequer the ICW
is all man made channel to Lulu's. So sailing the rest of the way may be more difficult, at least for me it would. Relatively narrow with tall woodlands on shore, and barges of course.
I'd guess about 6-7 hours in my boat for the trip.