Okay. Normally, I use the Bellingham tide table for transiting the ditch. Close, but not precise. Low water on 5/28 is 10:56 A.M. with a -0.6 tide state. If it were me, I would layover in Anacortes until about 1:00 P.M., which should give enough time for the tide to build to at least a plus one foot and a pretty good current flow down the channel. It is about seven miles from the north entrance to downtown LaConner, so figure about an hour and a half, depending upon boat speed. That should put you in LaConner mid to late afternoon.
An overnight layover in LaConner offers many activities before bedding down for the night. A brew pub, several good dining establishments and an assortment of novelty shops close to the south guest dock. Tie up on the inside of the dock if you can, as John suggested to avoid passing boat wakes. I especially like the wood shop on the south end of town.
Sunday the 29th has a minus 1.1 low water at 11:23 A.M. If it were me I would plan on casting off at around 5:00 A.M., which gives me a six hour ebb current to Everett, before changing to a flood at around 11:00 A.M. Seattle time. Arriving at the south entrance to the Snohomish River at low water, you can follow the flood up the river to the Everett marina.
Hopefully, Saratoga Pass will offer a nice NW breeze (unless unsettled weather) to push you south to Everett on a broad reach. One can only hope. If such a breeze I would put my sails up once out of the gorge with a beam reach to the channel south entrance, then changing to a broad reach all the way to Everett. Done this many times over the years.
Circumstances may differ from what I've listed above. Please let us know what you experience during your endeavor towards a new boat home. I'm just offering suggestions on what I would do based upon past experience.