We checked the baggage requirements across the major carriers, with no luck at finding snowshoes specifically named. However, there’s notations concerning "other sporting equipment," a category under which snowshoes definitely fall. Citing these rules, it looks as though you’re good to go if your snowshoe bag fits within the airline's carry-on size restrictions.
If they outsize the baggage sizer and you're forced to check them, be sure to pad the snowshoes with cardboard, plastic, or other supportive materials. After that, a hard-sided case is usually the best recommendation, but if that’s not an option there’s always your regular suitcase or duffle bag.
Bottom line is that the airlines and TSA seem to be cool with you bringing snowshoes aboard the plane, as they're mainly concerned with size. Remember: Another option is to always rent when you get there, and then you’re free to carry-on more trail mix.