Well, personally I will decide based on what the departments have to offer. For example, if my son is interested on robotics, I will see if the department offers the courses and whether the professors are doing research in the field.
As an international student, I think you should see if you get any financial aids unless money is not an issue. In fact I would decide to go the best affordable one. The private schools cost 45K per year now. It is a lot of money for many families.
Of course, this is just my humble opinion.
