I think you isolated a number of schools that would fit (except Lafayette and Union offer economics, not full business programs). There is also Stevens Institute of Technology but I imagine the gender balance is skewed there as well. SUNY Binghamton is a mid-size university worth considering as well since you live in NYS. From what I gather, it is generally the very large universities that just look at statistics since they have so many applicants.
As another poster noted, since your D is a freshman it is too early to start targeting specific schools. Not only could her stats change over the next two years, but she will change and develop as a person. Someone who you may not see being able to handle a larger university might well be up for the challenge and may actually prefer a larger environment by the time college arrives. And once you start looking at schools, her desires may surprise you (ex. my quiet S who we thought would like a small college, did not like LACs and my outgoing D who we thought would like a larger school fell in love with LACs – in the end I must admit that they both knew what environment was right for them).
Again, your D is a freshman so I’d continue to encourage her to get involved in a couple of activities so you don’t need to seek out a school that is so stat driven in its admissions. See if her friends are involved in activities at school and encourage her to join them. If school activities don’t interest her, perhaps you can get involved in the community – some things you can even do as a family (ex. working at a soup kitchen or something). I’d really insist that she do something on an extracurricular basis. I had to push my (then) very quiet S to get involved but in the end he became very active in two clubs at school and volunteered with his old swim coach to help teach disabled children how to swim. These activities added a lot to his HS years and really helped him to grow as a person (and now that he is grown, he “forgot” that I pushed him to join and thinks back to his activities with pride). Becoming involved goes way beyond just helping with college admissions – it will be another way she can expand her horizons and grow as a person.
Good luck. And BTW my D is at Lafayette and loves it (Union was another school that was high on her list as well).