<p>Fordham in NYC (one campus in Bronx, one in Manhattan) is obviously “in a big city.”</p>
<p>It is Jesuit, but is very open and accepting of students of other faiths (they help you find nearby mosques or synagogues or other churches if you need them) and is very diverse.</p>
<p>They offer full-tuition to well-qualified National Merit Semifinalists, something like 300 offers a year. I got it with lower stats than you, and some people got it with lower stats than me. You’d almost certainly get that, plus possibly be in the running for a full ride (also covers room and board).</p>