Snoff.

That is a word I invented this week. It is a the opposite of a sniff. It is not as much as when you blow your nose, it is safe to not have a hanky or tissue. I can't be blowing my nose every 5 minutes, but I do need oxygen. It's just a gentle outwards sniff. Just a snoff, to try and create an air tunnel through your stuffed-up nose, for breathing. The word is a lot prettier than the sound it describes, though.