Alternative alarm clocks I have iPhone 6 and iOS 10. I notice that if the mute button is on or the volume is at zero then the alarm doesn't go off.  I see many others note the same thing. 

Is there an non-native app I could use to get around this issue until some new update resolves it? I keep forgetting to check my volume and mute settings before bed and am getting into professional trouble. Thanks!
No.  All non-system apps are forced to obey the volume setting and/or the mute switch.  Only Apple's Clock app can produce audible alarms in these cases.