Consider Barnard -- which would give her access to all of Columbia University's resources but has better odds for acceptance.
https://barnard.edu/about/partnership-columbia
Might also look at USC. Bigger than she has in mind, but she'd get to experience a different part of the US, live in city worth exploring, have access to lots of native Spanish speakers, and be at a school that's oriented toward the Pacific Rim. Serious about the arts. Great marching band, music school. Big sports scene.
Northwestern might be another option, though it's next to rather than in Chicago. And odds of admission go way up if she's willing to apply ED. That's one where visiting is probably a good plan -- she'd have to feel strongly that that's where she wants to be before making that commitment.
In general, though, college visits aren't that important at this stage (pre-admissions) and going alone can be a plus. Have her identify specific schools via web research and based on her academic/career/EC interests. Visits can focus on areas she's unfamiliar with. We did day trips/weekend visits via train or in conjunction with other travel (sports, grandparents) and one weeklong summer tour of three schools in the Midwest (two of which ended up being DD's top choices). We only went to schools under serious consideration and, really, we could have skipped (or postponed) everything but the Midwest because the other trips just verified what she/we basically already knew.