Ruger LCP is pretty cool.

Kahr makes a pretty compact one, but it's sometimes a bit pricy.

Taurus PT111, although in 9mm, can be had for very cheap.

The defunct Star/Firestar makes some really compact guns all the way up to .45 cal and are very cheap too, IF you can find them. I saw one on another site for $250 in the 9mm model.

Taurus also has many small 5 shot revolvers that can be had used for cheap.

Just FYI, I can direct you to a website where you can find these and many more. Your likely min budget needs to come up a little though. It's going to be tough finding something worth shooting for $200, but you can find them for $250-300-350 rather easily.

Let me know and I'll point you in the right direction.