Contact the counselors at the closest EducationUSA advising center. There are several in Poland. They will be able to help you create a good application list: https://educationusa.state.gov/find-advising-center?field_region_target_id=&field_country_target_id=220&field_center_level_value=All
Needblind doesn’t matter. Meets full need for all accepted students might not matter either. What you need is a place that will meet YOUR need. Some institutions only give out one big scholarship to international applicants each year. If you happen to be the student who gets it, then you will be fine.
If you don’t particularly care where you study, check the list of automatic scholarships http://talk.collegeconfidential.com/financial-aid-scholarships/2006094-2017-automatic-full-tuition-full-ride-scholarships-p1.html Some of these were open to international applicants last year.