I’ll try to share some Mom thoughts. I transferred, too, so can relate to what you’re experiencing.
My neice went to UChic. It’s very quirky and “where fun goes to die” which is a cheeky sarcastic phrase the students use. Neice loved the school, but she’s definitely something out of the Big Bang Theory (as are her friends, who we have had at our house for Thankgiving the past few years). Hard to beat their Poli Sci Dept. Guru Nate Silver came out of there.
My D is in love with Tulane and just committed. It is a very social and sociable school, but has some excellent programs.The other kids from our HS who attend are super smart and not partiers, but note Tulane just got #1 party school from Princeton Review. I question that rating… did not pick up on this during our visit/tour. (We’re in PAC12 country, and there are some schools that are crazy party schools…) D is not a big party girl, but will be in honors dorm. We loved Tulane. It has a community service/social justice attitude that is contagious. I loved the balanced life and the cultural experience the school and its location offers. It has a good poli sci dept, fyi. James Carville teaches a seminar there every year. And the Breitbart founder is an alum. Two completely different political minds!
For WashU, everyone I’ve known from there is a cool person (work colleagues, friends). Great school. I love midwest schools. There is a different vibe and heartfelt goodness in the heartland. My S went to school in MN, and opted to stay there after graduation. He loves it. Some best & brightest from our town have gone to WashU, mostly health sciences people. I hear it’s pretty intense academically. I know St. Louis people are proud of their city, but it’s not the same as Chicago, Nashville (on every “hot” list for the past few years) or New Orleans (culturally iconic). (Yes, I’ve been to St. Louis, Chicago and NOLA).
Vanderbuilt is probably the most spirited sports and big-school experience. Tail gating, fraternities, etc. BUT, it’s a powerhouse academically. Wouldn’t Nashville be fun? I know some posters have talked about prestige, but look at your personality and decide what kind of environment you want. All of these schools are good, regardless of rankings.
For Poli Sci, all the schools you’ve listed are strong. Have you considered Georgetown, Duke or Davidson? G’Town had a 3/1 due date but keep the application open till “mid March.” Duke is March 19. Davidson is March 15, but you’ll need to scramble to get a peer to write a recommendation, too. The other schools I thought of have earlier deadlines (UNC, Wisconsin already passed). BC and Northwestern are good suggestions from other posts. But, mainly think about what you want from a college, the experience you want, the kind of student body you want to be a part of.
Each school is different and has its own subculture, so research a bit more online (or visit) to gain some insider information. To answer your question in rather simplistic/stereotypical terms: If you want a “big school/rah rah” experience, then Vandy might be a best match. If you want a more intense academic but heartland experience, then look at WashU. If you want a more intellectual academic experience with cold weather, look at Chicago. If you want to blend an academic experience with community service, look at Tulane.
Good luck!