It is not hard to verify whether or not any of the institutions that use the CSS Profile also require that the non-custodial parent provide financial information. Even then, many of the institutions that do require the NCP information will also award waivers if the student can provide acceptable documentation. In most cases all that would be needed would be a note from the guidance counselor stating that the NCP is not in the student’s life.
If you find out that you will need an NCP waiver, ask that financial aid office what kind of documentation they require. It really, truly, is OK to ask.