Despite your background, it is not likely that you could qualify for any "free scholarship" based on need. Individual public institutions may have "free scholarships", especially those that have a large international student complement like the University of Illinois, Chicago.  In fact, the private colleges, like Yale Universities, treat domestic and international students the same for most forms of financial aid (https://admissions.yale.edu/applying-yale-international-student) . 
 

In summary, you might have a better chance in getting a free scholarship at a private American college than a public one.