In addition to @thumper1 list, you should find schools that promise to meet aid for those they admit - like an F&M. It’s just that they’re unlikely to admit you because you cost too much whereas others who apply don’t. They are need aware.
UT Austin is a public - they’re not going to give you money.
This is right on Trinity’s website:
Trinity is need-aware when reviewing international applications, which means we take into consideration a student’s financial circumstances when making admissions decisions. Applying for need-based financial aid places you in Trinity’s most competitive applicant pool. For students enrolling in the Fall of 2022, the admit rate for all international students was approximately 10.8%. Admission is even more competitive for students who demonstrate significant financial need. Applicants who can contribute at least $35,000 USD per year towards their educational expenses are the most competitive for admission.
So they are not admitting many - overall admissions was 28% but 11% for international - and they’re saying - come with money or don’t come at all.
So you need to go school by school and see who really would even consider you at full aid.