Deer ate the carrot nose off of our snowman. My over-tired 4-year old son was very upset and my wife said "your Dad will print you a new one that the deer won't eat," and he calmed down. A quick search of Thingiverse revealed that I would have to model my own.
I did so very quickly and it's not my best, but here it is. Ready to print and be installed on a snowman near you.
Scale in accordance with your snowman. Print in orange. Make sure your printer slows down for the uppermost layers so they have time to cool.