Malia,
Humid air will keep the heat in the house better than dry so, use that cool mist humidifier just don’t stand near it. Something else I used to do was put a shallow pan of water on my wood burning stove (I only used it in the fall and spring so we could keep the furnaces off for longer), the water didn’t boil but because of the heat it evaporated faster than if it were just sitting there.
Another solution for both of you (Lily and you) is to turn your shower on to hot, and let the bathroom get all steamy and sit in there together. Bring some of Lily’s favorite toys and a book for you and enjoy the wonderful warm steam to help clear your heads for a little while. This was the trick I used to use for my girls when their colds got so bad they couldn’t breath at night, this along with a cool mist humidifier in their rooms. I also run a house humidifier in the winter because I do live in the High Desert and although it doesn’t get nearly as cold here as it does for you (hey, I lived in North Dakota for 5 years so I know and understand cold) it does get cold and is very dry. In the summer I have an evaporative cooler running which keeps my house humidified.
Brenda V.