Made this accidental discovery while setting an alarm for my assist cooldown. xD
Pre) Start playing any song from the playlist you want and get your shuffle options in order. If you want to skip or change songs you'll need to wait a minute again.
1) Set a timer for 1 minute.
2) Switch to Fantasica.
3) Turn screen off by tapping power button.
4) Swipe from the bottom up to open the Control Center and start playing your music.
5) When the alarm rings, swipe to stop it and unlock your phone. Your music should continue playing in-game.
Note that if you will have to repeat this if you do anything that returns sound to Fantasica, such as opening the Control Center again or switching apps. This is confirmed working on iPhone 5S with the latest iOS update and no passcode.