Is it an issue of a Muslim student interested in Brandeis, or a Methodist student interested in Notre Dame, or a Jewish student whose parents want her to attend Yeshiva, or a Charistmatic student interested in Oberlin (or even Notre Dame… or Moravian… or Sewanee?) …Those would be entirely separate situations, with separate points to defend.
Is that your parents’ sole objection?
You can always apply to respect the college’s deadlines, then talk to them, but keep in mind that unless you are ready to either walk away if they say “no” or win a full ride scholarship, they do have the last word on where you go.
The strategy described above - find colleges that share some fundamental characteristics with your favorite college, and look for colleges that are similar to your favorite college, but would meet with more approval from your parents.