Building a list of colleges that both you and your teen agree on rarely happens. So, what do you do?
Arguing with your teen is not that effective, and the last you thing you want to do is add to the anxiety that both you and your teen are already feeling.
Frequently, an effective resolution is to review the list and look for the colleges that both of you can agree might not be good choices. If you can do that and bump those off the list, that might leave space for a parent choice or two. For every parent choice added, the parent has to agree to one of the student's choices.
This negotiation seems to work well in most families.