Don't forget; lots of dark
At that time of year, you may be spending a lot of time within the confines of the tent. Night comes early and stays late in the morning. Can you keep the kids happy and comfy for that amount of time. That goes double if you run into a lot of weather near the north coast. I would romp, splash, play in the snow and then keg up in a motel for the night. Then again, motels get boring real fast and they all seem the same so if you have room for the gear, bring it along. If it looks like a night camping is going to work, then go for it. You can always go for the motel the next night and know the reason why by then.
My kids camped with me in the winter but I had a thick canvas tent with a woodstove in it. So long as I kept to stove going till they went to sleep and lit it before they go up, they we good with it and had a ball.
PAVEMENT Another example of needless government spending.