Specifically to your interests, @Chembiodad:
Hamilton would be terrific for history, particularly when regarded by that department’s faculty.
In terms of government/political science/public policy, Hamilton’s semester in D.C. and on-campus public affairs center offer great opportunities and indicate, as well, a strong commitment to these fields.
For the study of Chinese, Hamilton has shown itself to be both innovative and expansive:
https://www.chinainsight.info/education/general/231-associated-colleges-in-china-a-hidden-gem.html
For STEM, Hamilton graduates 38% of their students among these fields, and graduates math majors at ten times the national average. Two of their current computer science professors co-wrote a textbook that has been used nationally.
As somewhat of a technologically related aside, Hamilton appears to be wired:
http://m.huffpost.com/us/entry/4546120
Wishing your daughters lots of luck in their decisions!