<p>Something you could do is use Supermatch (look on the left, under “FIND A COLLEGE”). Enter Bioinformatics as a major and write down the colleges’ names. Then enter Public Health, Genetics, etc.
Then compare which colleges offer financial aid to internationals (need-based or merit) and which offer more than one major.
Biomedical engineering is the one least likely to let you explore since engineering has a prescribed path. It is also offered at fewer colleges than the other majors (especially in terms of FA for internationals).</p>