Is it possible to use my own mp3s and Apple/iCloud Music Library simultaneously? Ever since I've begun using Apple Music I feel as if I'm either only able to listen to my own music (mp3s synced to my iPhone) by having iCloud Music Library disabled, or listen to Apple Music by leaving it enabled (and not being able to access my own music). For example, if I sync all my music from iTunes to my phone and then go into Airplane Mode, the majority of it disappears. 

Is there a way to have both my own mp3s and Apple Music at the same time? It seems absurd that you have to pick one or the other.

Thanks for any help.
I've just discovered a Mac app, WALTR 2, that I've used to successfully (and very easily) copy some mp3s to my iPhone over Wi-Fi, and they now appear in my iTunes library as local files, with all the correct metadata and album art. iCloud Music still enabled the whole time.

(I am in no way affiliated with WALTR 2, just was having the same problem as you and wanted to recommend an app that works for me.)