Ah, the constraints religion puts on dating. Your problem is not new. People have been forced to look within their own churches (and mosques) for partners. This, of course, is what religion wants: believer couples that will raise believer children. Why not find a girl within your Muslim community? After all, the odds of convincing this person that Islam is true is pretty slim.
"The family that prays together...is brainwashing their children."- Albert Einstein