Some of the above suggestions will hinge on that SAT score…and the state of residence. For example, UNC-CH is a challenging acceptance for OOS students…and it’s a pretty competitive place anyway.
I would still suggest this family start their search with their own public universities in their home state. If they live in a state with a reciprocal tuition agreement with other states, look there too.
Schools like ASU, U of New Mexico might be worth a consideration as well even though they aren’t on the east coast.