The OP has probably made a decision by now. But I think both schools are prestigious enough that a comparison of the two on the grounds of which is more prestigious is really splitting hairs.
Another question is where the OP, or future students reading this thread for a comparison, would “fit” better-- which school is more attractive based on attributes that each potential student values?
Our family visited and loved both schools. We are at an earlier stage in the college search process.
Colgate: such a beautiful campus, several students reached out to us to share their experiences and answer questions, real sense of community and traditions, pride in alumni connections that help students transition to world of work, core curriculum classes, residential Fraternities, relatively large population for a small liberal arts school. Our concerns about Greek life were allayed by experiences of students who spoke with us, some of whom were not in a frat but were happy socially anyway. Students seemed uncommonly beautiful in appearance, an odd thing that all three of us noticed.
Hamilton: a very special place, so warm and welcoming, students very engaged in learning and discussions of ideas (notable even in the dining hall and passing by students on the paths), nonresidential frats seem less of a presence. Interesting architectural diversity of the so-called dark and light sides of campus was reflected in the student body as well-- seemingly a mix of sporty and artsy, science-oriented and humanities-oriented, etc. A small population. The personal, individualized approach of the admissions office staff and student volunteers reinforced that this is a really “friendly” college. The open curriculum is one of the country’s few (they state that just Amherst, Brown, Grinnell, Hamilton, and Smith are completely open curriculum schools).
Both are great schools, among the nicest we have visited, and we have visited a lot of great schools. I can see different applicants finding either preferable to the other, depending on which attributes are most important to them.
My guess from reading the OP’s post is that she would go for Hamilton… wonder if she will check back in and let us know!