What are some diverse, liberal GOOD schools in the Southeast/MidAtlantic?

<p>Again, thanks for even more help. Just a bit more about dd…
-Our home state is NC. She would prefer to go north rather than south.
-She has two younger brother and elderly (one over 90) grandparents with whom she is very close and would want to be able to get home for some special occassions or emergency, therefore her thought is no further than PA or NYC, with Va and MD being her preference.
-She does NOT like the very conservative, preppy, non diverse (ethnically, financially, etc.) high school she is in, but she manages.
-No idea what she wants to be, career wise. Strong student with great math and science grades and is pushed a lot toward engineering and medicine, but not clicking with either ides.
-Chapel Hill and NC State seem logical, but wants more choices.
-Would like a large school…loves marching band and sports and wants to continue to march and be able to do intram. sports (does basketball and track now but no belief that she is good enough to play in college).
-Good kid, puts too much pressure on herself and for that reason my husband and I would prefer a good school to a great one…she needs to breathe a bit!</p>

<p>T</p>