Outpost.com had this camera for $177 most of this week. I picked one up and I'm fairly certain (without having it in front of me at work) that it satisfies all of your requirements including the last.

Videos are only recorded at 10FPS though. Too bad I didn't post the deal to the board. I recommend it if you can find it around that price again.

PS- The Panasonic is identical (except for the case) to the Leica D-Lux which sells for about $800.