Case takes student interest into account when making admissions decisions. Consider attending one of their open houses which have informative sessions.
Ohio State doesn’t take interest into account when making admissions decisions. This is a helpful link to review when applying Who gets in - Columbus campus first-years - The Ohio State University there. Be prepared to wait until end of March before having a good guesstimate on net price since their merit aid rolls out and is not released with their decisions. They have a $4,000/yr engineering fee.
Miami University is a very good school to have on the list since they release merit and their EA decisions in a timely manner. Consider visiting in Fall or Spring when students are on campus.
You’ll miss merit opportunities and can be shut out of CS seats at many public universities if you don’t submit a completed application by their EA deadline. Some schools require supplemental applications for their really big (full ride) merit.