Since it sounds like you want to use your music supplement as more of a boost to your application and to demonstrate your level of talent, it shouldn’t matter then whether the school has a great jazz program or not–since you say you may or may not even participate in music programs in college. I’d say submit the supplement (as long as it is high quality) everywhere you apply. I would agree with Hunt–my son’s music supplement was very helpful for acceptance to several Ivies. But, music supplements won’t likely even be considered if the rest of your application isn’t stellar–it’s the whole package they’re looking at.