Fortunately for you, most US universities lean liberal. It would be easier to find schools if I knew your gcses, grades, and extracurriculars (though I’ll be honest, I’m not entirely sure how the U.K. school system works). I have a few suggestions though. All these schools are on this list: https://lendedu.com/blog/international-students-financial-aid-study
Also, all these schools are going to be very liberal and they will be test optional
Wesleyan
-In Connecticut
-3,000 students
-Very liberal (more so than others on this list)
-However, admissions have become very competitive. 18% acceptance rate last year.
Skidmore
-New York
-2,600
-37% acceptance rate
Bates College
-Maine
-1,800 students
-23% acceptance rate
Pitzer College
-Really low acceptance rate (13%) but meets all your requirements
-Southern California
-Part of the Claremont consortium (look it up)
-1,000 students
Connecticut College
-38% acceptance rate
-1,900 students
Bennington
-67% acceptance rate
-600 students
-Vermont
Bard College
-45% acceptance rate
-2,000 students
-New York
Franklin and Marshall
-39% acceptance rate
-2,200 students
-Pennsylvania
Macalester
-36% acceptance rate
-2,000 students
-St. Paul, Minnesota
Please note, most of these schools are very hard to get into. I saw a lot of other schools on that list that I think you might like. You will notice that these schools are small. This is because smaller schools generally place less emphasis on test scores. These schools are all defined as test optional but you should do research into what they require U.K. students to submit. Let me know if you have any questions about the US college system, let me know and I would be happy to answer them.