You know, I've been backpacking and camping for a lot of years and I've only had 2 problems with other peoples music.
1) Mostly from people in campgrounds playing radios/boom boxes. Occasionally have run into idiots playing music loudly on their phones or whatevers on trails like in the Grand Canyon.
2)The only time I've had an issue with someones "live" music was in Yellowstone when a guy camped next to us played guitar into the night. His playing wasn't bad, in fact it was quite good. The problem was he played about every song that I play but he played them a lot better than I ever did!!

In response to your original question:
Find a way to carry your instrument safely, play it with consideration for others (if there's any around) and have fun!