Many (most?) schools will have recording facilities.
I would maybe add Sarah Lawrence and SUNY Purchase since they are close to NYC.Then any of the colleges you listed should be great for her. I also suggest looking at “Colleges that Change Lives,” a book, website and national fairs.
For conservatory, Berklee/BoCo of course, maybe BU (I know a vocal performer who did their music school and is now in the “entertainment business.”) Miami Frost, Berklee, Belmont and USC seem to come up the most often for popular music.
Your daughter (and you) might like to read this:
http://www.peabody.jhu.edu/conservatory/admissions/tips/doubledegree.html
It gives examples of individual students and what combination of music and other academics might best fit.
She can major in music, minor in music, major in something else entirely and do music privately, double major, or do a double degree. If she has other interests, that will be a big factor in her decisions, as will location, size, and “vibe.” The biggest decision may be conservatory/music school versus college/university. She can apply to all options and decide in April of senior year: changes continue throughout that year! She can also apply to schools with double degrees to maintain flexibility of choice.
Bard requires a double degree for all conservatory students. Oberlin and Lawrence are good places for double degrees. Tufts/NEC and Harvard/NEC (MM).
As for your original question, yes, most will have recording studios 
Good luck!