What I recommend for this situation is to not blow your nose, only breathe through your mouth, and let the taps flow free.
After a while you'll have two streaks down either side of your face. Eventually they will crustify and you can break them off like pieces of wax.
Then there is a whole phlethora of stuff you can do with your Snot Stix. Have a sword fight with a friend, play a couple games of wishbone, or you can collect em and trade with the other nose runners at school.