Parking in Seattle - Reasonable Price for the Day?

Anyone know of a good and reasonable place to park for the day in Seattle? I am thinking about getting to Seattle on the early side on July 23 to try to go up the Space Needle before seeing the Mariner game at 1:30, then leave for Longview, WA where my grandmother lives after the game. I was thinking about the Westlake Center garage, but I don't know price wise if that is the best option. Logistically it would be easy because I could take the monorail over to Seattle Center, then take the bus to the International District station of the bus tunnel and walk to Safeco, then after the game grab the bus back to Westlake.