I’m just giving you another take on this. I pretty much could see that you were just qualifying yourself on here as the caliber of player that you are. I didn’t assume (as others did) that you would have tooted your horn (sorry, couldn’t resist) on your college apps. You are clearly very bright and astute - so I wouldn’t have assumed that.
I just want to say that I am in awe of your talent and brains! What a great combo! I would imagine that it makes things a bit difficult as from what I can see - most musicians are very focused on their craft to the exception of many other things. Bravo to you to want to try and do both. Columbia sounds like the perfect program for you. I wish I could offer up some advice - but just wanted to send you a bit of encouragement.