Well for starters, I'd head up Mica peak, it's close by, and there are deer/elk and bear on that hill with public access. Not too many people truly hunt it all that hard and if you get up there and do your scouting and find some escape routes, you'll be set for opening weekend when the opening day warriors all hit the place. 95% of the year the only people you'll see up there are dirt bike riders, and if you get off the trails and hit the woods, the animals are there.
Now if you have any access to large >40acres anywhere in Spokane county, thats a great place to hunt deer, cuz they are literally everywhere.