Amherst is the only LAC in America that is 1) need blind in admissions for international applicant and 2) provides full need aid to internationals who are accepted.
It’s very competitive to get admitted there, and you almost surely want a higher SAT or ACT score, but it definitely should be on the top of your list either way.
If you are fast enough, cross country could be a useful hook for admissions. Remember that all of these schools are Division 3, and the time demands on varsity athletes are not nearly as high as they are for the big sports schools.