Here is the info I has helped me manage the Ditch.
First You should probable seek the higher tide feasible. I powered through on a 36' Catalina with a 6 ft draft. The owner was nervous as we approached #8 Marker and the east end of the breakwater. The depth meter as recording 12-6" of water under the keel. We crawled through at 2 knots. Never touched. Tidal level was at +1. I think you should have no problem as a +2.
The areas of concern are circled in red.
The first issue Circled in red (assuming you are coming from the north), is to stay to the north side of the channel center (use the range marker) as you approach the end of Goat Island. Not on the north edge of the channel as there are rocks around the bases of the north side markers. They are visible at minus tide and they extend out 6-10 yards from the marker piling.
Water enters the channel between the end of goat island and the start of the breakwater. There is bound to be some shoaling in that area, near the beginning of the break water on the south side. I stay north edge of center channel. The shoaling does not appear to extend more 30% from the South side.
We saw a shallowing of the water near the # 8 Red marked on the south side. Again stay closer to mid channel.
When you get to the South end of the ditch stay to the north side of the center as giver yourself room from to clear the channel before you turn south. The tidal currents here flow north and south as well as out of the ditch. The currents are carrying silt from the bays either side of the ditch. So give the end channel markers some room on both the north and south edges. Don't cut the corner!
On a high tide you should have a safe passage.
On the other hand you can run south through Rossario Straight and duck in to the Saratoga passage through Deception Passage. Or you can cruise down to the SouthWest end of Whidbey and ride the flooding tide through Admiralty Strait.
Oh so many fun options.
Hope it helps. PM me if you need more.