I’m going to jump on the “look into Rochester” bandwagon here. For some reason, it’s not a school that gets much attention in the Midwest. My daughter often has to explain that she goes to school in NY rather than Minnesota. We almost didn’t visit when she was in high school, but once we did it rocketed (over schools like NU, Vandy, and WUSTL) to first place on her list. She’ll be a senior there next year.
It’s a great school for students with a wide range of interests and a desire to continue exploring them. Its academics are top-notch, and I think you’d find peers with interests and attitudes similar to your own. And it offers both substantial merit and generous financial aid. (my daughter had similar stats to yours and Rochester offered a merit aid package that made it quite affordable.) They encourage study abroad and make it financially-attainable for all students.
Math and economics are strong departments, but you would not be locked into those if you changed your mind. Music is also a focus there. Students can take lessons at Eastman and there are great opportunities for nonmusic majors, with performance ensembles that range from symphony orchestra to ensembles that perform in musical styles that include, among others, jazz, rock, or West African drumming. Many high-school athletes continue their sports on varsity and club teams.
Students tend to be academically oriented, but they don’t take things too seriously and tend to be a bit quirky and proud of that quirkiness. (The Quidditch team won the world cup last year, a campus point of pride, and acapella performances are as well-attended and cheered as football games.)
Edited to add: And it’s cold, but not that much different from Iowa. (We’re in Chicago and it’s pretty much the same as here.)