I don’t have school suggestions, but want to comment on a couple things in your post. First, makes sure that majoring in music and engineering is possible. Engineering majors are very proscribed with specific courses which must be taken in sequence. There usually isn’t a lot of flexibility. Music is known to be a very time intensive major. The two may not mix well. You will need to investigate the schools you are targeting to make sure you can really do what you want to do.
Second comment - you say you don’t want to go to a school where students spend all their time studying. Engineering is hard everywhere and will require a lot of time studying. Combine that with a music major and you will not have much free time no matter where you go.