Your best bet is to find an affordable university near you.
Are European universities affordable for you? I don’t think the US public universities, that you seem to want, will be affordable, nor will they guarantee admission without full payment by your family.
Those schools, funded by their state governments, don’t have any spare money to give to nonresidents.
Also, your major of psychology, has plenty of students majoring in that field in the US. It is not something that is lacking in the university community. A bachelor’s in psychology, typically requires graduate level studies. You would have to seek out another university setting where the focus of continued psychological studies involve an area that you want to continue to study under a professor/program involved in that particular discipline. Not easy, typically competitive, and you would have to figure out funding, if they fund.
So why does it have to be a US school?