West Houston reporting here, on day 3 of our Winter-pocalypse. I woke up Monday morning realizing I had left all the faucets dripping, except I had done nothing for the washing machine. I checked, and sure enough, the cold side was froze up. I disconnected the line from the washer, put it in a bucket (with a clamp to keep it from popping out when pressure came back), opened the valve, and applied a hair dryer to valve. That didn't work, so I went up in the attic, and applied the hair dryer directly to the copper pipe where it elbowed down into the wall. After about 10 minutes, water started flowing. I then turned it onto until it was dripping, then I removed the washer drain line, and stuck the cold water hose down in there. Now it could drip to it's heart's content.
Come Tuesday morning, the hot side had froze up. Same thing repeated, except this time I had to let it dribble in a bucket, because I couldn't fit both lines down the drain hole. By late afternoon temps were high enough I could hook both lines back up to the machine.