It's always fun to talk to others who have both an analytical and an artistic side... and it's amazing sometimes to see how many of us there are! Careers that explicitly combine engineering and music are more difficult to find, but they're out there if you look for them.
When I was in high school searching for a potential future career (and a possible major for college), I focused on ways to combine technology and music, which led me to investigate sound and recording engineering and other opportunities working with acoustics (mainly in mechanical and electrical engineering disciplines). I encourage you to consider universities which have strengths in both areas, even if you don't pursue them both in the end, and when you visit talk to faculty in both areas about how they envision the fields intersecting.
In the end I took a slightly different career route (emphasizing sound and language engineering but not music), but I still believe that my background gives me a multidisciplinary perspective on the engineering problems I tackle and helps me to be creative in my approach. Regardless of the career decisions you make in the future, I encourage you to keep up with your music through whatever you do!