In the second to last column of https://profile.collegeboard.org/profile/ppi/participatingInstitutions.aspx , you can see if a college using the CSS Profile requires the non-custodial parent finances (but verify on the college web site or directly with the college, since sometimes this list has incorrect or out-of-date entries).
If the college does, you can ask for a waiver; the waiver form is https://cssprofile.collegeboard.org/media/pdf/css-profile-waiver-request-non-custodial-parent.pdf . It is not necessarily the case that each college’s decision on the waiver request will be the same as with other colleges’ decisions. If you do not ask for a waiver from a college that requires the non-custodial parent finances, your financial aid application will be considered incomplete, and the college will not give financial aid.