I'm a recent grad and was able to find FT work in Seattle... But honestly, I kind of fell into the position by networking and finding people that were willing to help me and work with me given some personal things going on at the time.
So really, there is work to be found in Seattle, but you might have to be flexible with where you're willing to work, as well as what hours, and to what extent. But I think this goes for any major metropolitan area in the country. Good luck!