if the colleges use the CSS Profile (Cornell does) and requires the non-custodial parent form, you will likely have to get a waiver for this. You will need to contact each college to find out what they need from you to get this waiver. You might get the waiver…and you might not.
Just be prepared for this possibility.
Would he be interested in University of Chicago? That school uses only the FAFSA, and no info from the non-custodial parent is required.