I'm majoring in Chemistry and Piano Performance. It's tough going, and I'll have to do an extra semester or two (I could technically graduate in 4 years, but I think I'll get a lot more out of my education by spreading classes out a bit).
I simply can't drop either major; I love science and I love music. I'm kept very, very busy - I don't necessarily have the time to do everything I'd like to do, but I think it will have been a rewarding experience, looking back.
What sort of non-piano degrees are you interested in? There's a big difference between chemistry and piano or journalism and piano.