Have you tried Google Analytics?

I am not quite sure about StatCounter's stat as I don't visit it often even though I use it.

Google Analytics look very impressive, and their new dashboard looks even more nice with a lot of information. It has great details and should be somewhere close like StatCounter. I don't know if there is a limit or no with Google Analytics. But it is worth a try I'd say.

Edit:
250.000 pageviews a month is really impressive. You can make a lot with Adversal though that might drive visitors away, but will make very nice income.