There is a shallow spot in the channel on the east side. You will be fine at high tide, but I wouldn't chance it with low water. I don't know the exact depth of the shallow spot, but I know it ain't soft! Don't ask how I know.
There are also a couple of passes through the cuts in the ICW channel on bayside that you will probably want to do at mid to high tide. Your draft is right at about max for that trip without playing the tides in a couple of spots.
Chesapeake Bay, ICW Hampton Roads To Key West, The Gulf Coast, The Bahamas