Just remembered. There was also the show that Michael J Fox and Barry Bostwick had, called “Spin City”, although that was municipal politics/government, not federal or state.
I picked up this book at a high school rummage sale a couple years ago: http://www.amazon.ca/completely-civil-servant-Arthur-Sage/dp/0920792480 Though it was published in 1985 (under a nom de guerre), the content is still shockingly relevant, and every bit as funny and biting now as it likely was then. You wouldn’t know it’s as old as it is.
There’s a game of career snakes and ladders in the middle, plus a delightfully sardonic “Are you good enough to be a public servant?” quiz. No end of potential plotlines in it.