When in a place that is not build for those freezes, let the water drip at a pace enough that will help keep the lines from freezing, and check on it from time to time during the night. If the water is on and the pipe freezes, it lessens the chance of damage. We get that type weather here about every 20 - 30 years or so and that is the easiest solution because you never know where the pipes will freeze, it all depends on the temperature, wind, and other factors. The bad news is that when it freezes like that sometimes you are also without power so no heat so you may have to turn the water off and drain the house lines as best you can. I worked with guy here who closed escrow on a new home on a Friday, moved in on a Saturday, we had a 30 year hard freeze on that Saturday night and the pipe over the kitchen froze. They left for church Sunday morning, the pipe thawed while they were at church, flooded the kitchen, turning on the electric oven, which had 6" of water in it by then, which boiled that water and turned the whole house into a steam sauna. Every piece of lumber in the house either bowed, or delaminated, ruining everything. Total loss. House had to be rebuild because the walls looked like a funny house. When this house here was re-sided I put extra foam insulation around every pipe, and we use special covers over the outside faucets. I also covered all the pipes in the attic with extra insulation so they hold heat from inside the house better. And we let the faucets drip. Good luck.