iOS 10 - Alarm stopped working

I've upgraded my iPhone 6 to iOS 10.0.1 and ever since the update, my alarm clock no longer works. I can set an alarm, the alarm clock icon shows up in the upper RH of the screen, but when it's time to alert, nothing happens. The phone does not turn on, it does not create any sound. I've tried everything I could think of and the suggestions online, but no luck.

Another odd behavior is that even after an alarm has past (with no reaction in the phone) the icon in the upper RH remains. I can delete all alarms, the alarm icon still is present on the screen.

I've tried the new Bedtime feature thinking it my by part of the problem, but it also does not work. However, it does have some impact; if I turn on the bedtime feature, the alarm clock icon on the upper RH of the screen will go away and any alarm (on the alarm screen) that was armed gets turned off. It's as if the two are mutually exclusive meaning you can either use Bedtime or traditional alarms, but not both. Does anyone know if this is the case?

I really doubt I'll use the Bedtime feature, it's a little odd and not terribly useful for a hectic life that isn't too predictable for going to bed each night. However, losing total functionality of the traditional alarm clock is a huge disappointment.

I've tried restarting the phone; the only thing that does is make the alarm clock icon disappear (if it was stuck on from a prior alarm). It does not restore the actual vibrate / audible function of an alarm that is set.

I also deleted my iHome clock app thinking the alarms from that app might somehow be competing with the native iOS alarm function, even though they both worked fine in iOS 9.