A couple of smaller schools to look at in Ohio that grant merit and have good CS departments: Miami University (often called Miami of Ohio), which is medium-sized, and Denison University, which is a small LAC.
If he gets the ACT or SAT up, he’d be in range for the higher end of Miami’s guaranteed merit scholarships: https://miamioh.edu/admission/merit-guarantee/
Case Western in Cleveland, as someone mentioned, is another good option. However, it’s urban rather than suburban as he mentioned he wanted, and they use the CSS rather than FAFSA, so your home equity (as you live in an expensive area) would likely raise your EFC more than at a FAFSA school.