We spent a few years sailing that area. Really, just point the boat somewhere and your sure to find a great state park. Some of our favorites... (These are almost all state parks, and should be able to be found on the washington state parks website if you can't find them otherwise.)
Boston Harbor Marina at least used to have a great Sunday brunch.
Hope Island is a fun little island with a old homestead and some history. A nice place to walk around.
McMicken Island is *TINY* but I always found a peaceful place to stay for a bit. Nice and quite, but not much to do, so could be good depending on your mood, or could me meh.
Jarral Cove is a bit more hoppin place if you in the mood for a little more crowd. The park has land access with RV parks and camp sites, plus docks, lots of mooring balls and small store / fuel dock across the way.
Nisqually Reach has a few mooring balls. While its not protected at all, I find exploring the mud flats to be interesting, checking out the huge sand dollar beds and other wildlife in vast amounts of ankle deep water. Perhaps a good afternoon stop along the way.
I enjoy staying up in the bay inside Vashon Island in Quartermaster Harbor. There's a park there with docks and moorings, and a bus that takes you into town.
Gig Harbor is quite a busy place. Neat place if you want to be in the middle of a town with lots to do. Oddly, there is no fuel available here (at least not last time I was there)
And as mentioned, Blake Island is a fantastic place.
Since it sounds like your not familiar with the area, be sure to watch the tides and try to travel with them as they can really slow you down. Especially going through the Tacoma Narrows. I've gone 13 knots with the tide, and -0,5 against it under the bridges.
Hope you have a great trip, there's so many great places to explore in the south sound, you won't have any trouble filling up 11 days!