Another reason why I like UChicago is because if I get in, tuition is paid for. Pretty sure anyone with a household income of less than $100,000 gets their tuition paid for, if I'm not mistaken.
They guarantee free tuition for families that make up to $125K: https://collegeadmissions.uchicago.edu/cost-aid.
You would probably want to use their net cost calculator to get a better idea though. In addition to tuition, there is also fees and room & board which cost around $17K per year.