Holy Cross is well-known for Classics and has merit aid for classics majors. It’s a highly selective, small, Jesuit college (nationally a top Catholic college alongside Georgetown and Notre Dame).
Your SAT score could get you merit aid at several public universities
For instance, Miami-Ohio. Not as strong as UCincinnati for Classics but they like high SAT scores and their Honors college is solid. The campus is beautiful.
UCincinnati’s Cincinnatus scholarship would make that university very affordable. The campus is urban with nice modern/postmodern architecture.
Both would be good possibilities.
International students who need aid must be ready to apply to MANY universities they like.
Their best bet, of course, is to run the NPC on the 2-3 colleges they like best and apply ED at the one “meet need for internarionals” that seems to return the best result. (The NPC is for domestic students so the amount you see should be cut by any Pell or federal money but it does indicate whether the college treats your situation more or less favorably, e.g., equity, etc).