I believe that if you click on the diamonds indicating the Free to Hunt lands, you get more information about the property, including parking, hours, game available/permitted. Many FTH spots around Skagit Bay for example are free to hunt for waterfowl. (at least that's how I remember it at midnight.) Do more research before committing.
Capitol Forest has some wonderful looking areas. If you get off the roads and hike in a bit, you'll get away from the crowds and have a good shot at finding some action.