Additional universities to consider:
Columbia University
Northwestern University
Vanderbilt University
Boston University
New York University (NYU)
While Bryn Mawr has a substantial population of international students, it may be too liberal (and too much of a liberal echo chamber in that conservative or non-liberal opinions are unlikely to be tolerated) and it is a very small school of just 1,350 students. The consortium doesn’t really affect much.
If you prefer an all female LAC, then consider Mount Holyoke College in Massachusetts, Barnard College or Wellesley College. However, I think that you will be much happier at a National University due to the breadth & depth of academic and social offerings.