Music Major @ Princeton - What are my Chances?

Hello all, I just want to start things off by saying that this is my first post on CC.

I am a 17-year-old incoming senior in Austin, TX. My weighted HS GPA is currently around a 4.1 and my composite ACT is a 35. I would give anything to be able to attend Princeton University as a music major and graduate with a Certificate in Jazz Studies and possibly minor in Computer Science.

What do you all think my chances are at being accepted into PU’s school of music with these achievements?

Should I risk applying to PU with Restrictive Early Action, or should I apply Early Decision to a less-selective private school?

Thank you for your taking time to reply!