Urk. I think the cold weather would help, but I doubt the face would be recognizable. OTOH, a distinctive ring, watch, or other piece of jewelry likely would.
And checking dental records is a matter of a few days -- possibly a few hours, if someone (Superman, maybe) could quickly get a forensic dentist to the scene (or more likely, the local morgue) and the suspected match's dental records from his/her dentist.
Oh, and good thing you added the parenthetical qualification . . .