Am I the only one concerned that your child does not have a say in the matter? The way you wrote your post you are writing as if he has zero input and that you are choosing where he will apply. Let him use some of the calculators online to find universities and colleges that would fit his interests, size, etc and then help him narrow it down from there.
The more your child has ownership over the process, the better chance of him succeeding. There are many high stats students who failed miserably their first year because they didn’t have much input into the process.