I have a little bit of an update.
I contacted Apple Support and they wanted me to try a full factory restore, see where that got me and then head to an Apple Store for a replacement if that didn't correct the problem.
I haven't done that yet, BUT I haven't had a "coma" incident in going on 36hrs now. The only different thing that I have done is not connect the headphones. Now that I think about it, every time the coma happened before, the headphones were plugged in.
Has this happened with anyone else while headphones were plugged in?