specific suggestions<<<<<<
In the context of the family having 120K income and unknown actual stats, the OP is like many of us, looking for the chupacabra of college. AFAICR OP can offer to pay just R&B type costs (10K a year). and would appear to have an EFC of several times that amount. The specific suggestion are the schools that offer auto merit to merit worthy students that are not reaches or affordable in state options. OP is looking for a unicorn. If there is one out there, I am looking for 2.