Is cost a factor?
Many public universities (including Berkeley and Michigan) do not offer financial aid to international students.
Many small liberal arts colleges (like the “undergraduate focused colleges” listed in post #4) are relatively generous with aid to internationals.
http://www.desperateguide.com/us/top-25-financial-aid-colleges-in-us-for-international-students-need-aware
(some of the numbers may be a couple years out of date; it is not an exhaustive list).