Indeed, Barnard College at Columbia University would fit several of the stated criteria.
To be clear, it is a reach for everyone regardless of the stats, but your EC’s sound like the type of very engaged, exceptional young woman that Barnard might seek.
The Manhattan location does concentrate a vast amount of internship opportunities in a small geographic area, reachable by public transport.
Barnard does have a very flexible distribution requirement, that encourages you to take classes in many disciplines. In any given semester there’ll be hundred(s) of courses that fulfill (one or multiple) general ed requirements and at the same time likely still tangent something you’re interested in: https://slate.barnard.edu/portal/gen_ed_courses. In addition you have the full course catalogue of the Ivy League university to choose from.
Both through the college itself, but also through the University, there’ll be many options for study abroad. My daughter eventually decided on a summer semester in Italy, run through Columbia - and by chance the other young woman in her apartment all turned out to be from Barnard, who all became lasting friends.
All that, and there is a 4+1 Masters for political sciences.
https://catalog.barnard.edu/barnard-college/courses-instruction/political-science/
… and to everyone and their parents.
That said, Columbia University is in New York City - with crime rates that compare favorable with other cities - large and small. But, if you put many millions of people together, there’ll always be something on the news every day - even if a bad actor just happens to “traverse” your otherwise rather “safe” neighborhood.
Morningside Heights is not one of the touristy neighborhoods (other than the occasional movie buffs, who take their pictures in front of Tom’s Diner of Seinfeld fame, or Mrs. Maisel’s apartment on Riverside Dr.) - so it’s much more “residential” in nature (as much as that applies to Manhattan).
It comes down to being “city smart”, no matter which major city you end up in.
Then again, in Manhattan you are less likely to be pulled into a pond or canal by an alligator, or strangled by a python 