Re: nose full of water?
I don't think it's anything to worry about. I would not switch to a bottle they are much more hazardous (broken teeth, caught tongues, etc)
It's possible that the bowl is the wrong size or height for him. I'm thinking that a larger deeper bowl would be more difficult for him to drink out of and then he may lose his balance while drinking and dunk his nose. But I'm sort of wondering if silvercat is right about him doing it for entertainment. Perhaps he discovered it by accident and liked it.
RIP Quigley, I miss you my little grumpus.