Max - Check out the rest of the Community. I have 40+ brothers and sisters experiencing the same. The system finally turns off if you delete - not disable - all of the alarms. Await response from you tec people. You have a bug.
The alarms are not stopping even if you remove the alarms, remove the radio station and even remove the app. Currently the only way of shutting it up is to let it run but turn the sound down. as soon as you try to make any changes it returns to the play-time alarm settings.