There are several ways I have seen members of our group carry snowshoes besides carrying them in your hand.
Just a few ways include:
1) Using a large carabiner to secure them onto your backpack.
2) Using bungee cords to secure them onto your backpack
3) Purchasing a backpack that includes enough room to carry your snowshoes inside.
4) Put the snowshoes in their own bag and carry it over your shoulder or secure the bag to your backpack.
Whatever you do, play around with the options BEFORE you leave your house!!