...er... the monitors had less than a third of that freeboard?
Looking at this (which is the chart you provided), I'm pretty sure I can see a path where the depth never goes below 10 as marked:
View attachment 550882
And the diagram explicitly states that the mean high tide is about six feet while the mean low tide is about one foot. You'd expect about an extra foot from spring tides on top of that.
I don't think you need to lighten very much to get through this in the configuration given by the charts. It might mean being careful around the shallowest points, sure, but it's doable if the ship's draft is 15 feet.
After all, the alternative is that the Confederates specifically ordered a ship that couldn't use
any of their ports... but speaking of which...
Fortunately in 1864 there was a resurvey done of the Charleston Bar:
Scale 1:30,000. LC Civil War Maps (2nd ed.), 384 "No. 15" is in the upper left corner. Revised and redrawn edition of the preceding chart published in 1862. Description derived from published bibliography. Available also through the Library of Congress web site as raster image.
www.loc.gov
Detail:
View attachment 550883
The three surfaces are labelled, explicitly, as 6, 12 and 18 feet below
mean low water, and there is indeed a path where the depth maxes out at 11 feet below
mean low water - note, not high water, low water. The chart further states that the mean rise and fall of tide is 5 feet, or 6 in spring tides.
So no, the bar is not 12 feet at high water - it's 11 feet at low water, 16-17 in high.