I was able to do it just once, but have not been able to recreate the situation so I've no clue what I did. I don't even remember what mode I was in, but probably full accessory mode (radio and dash on).
Anyway, I pushed the button on the switch in and held it in for some period of time. Not a minute, but maybe pretty close to. And it stopped dinging!
But I suppose it could have been that maybe the switch just stuck closed that one time.
However, you've inspired me to play with it some more. Maybe this weekend.