I had this issue in my old house and ultimately had leaks in both the hot and cold water pipes to the washer. If I remember correctly, my plumber replaced the original copper pipes with PVC pipes that could handle a bit of expansion with they froze during really bad cold spells. Unfortunately, there wasn't much I could do to provide better insulation in the first place, but at least the PVC pipes didn't leak or break during cold spells. I just had to accept that I'd have frozen pipes now and again.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher