The best snare mic is an SM57
. This mic is ok for live vocals. It is also a good guitar mic. I have a half dozen in my locker.
This isn't the best mic for everything of course, but it is probably the cheapest good mic you can get.
Slightly above the price range you wanted but not much. Eat some TV dinners or PB&J sandwiches instead of McDonalds for a week and you've got the extra small change. Shop around and you'll find a good price.
Don't skimp on mics GIGO.