You definitely want to let the pipes run. I live in a very new house (10 yrs) and year three of ownership the interior bathroom tub pipe froze and broke resulting in the ceiling in the entry way filling with water and collapsing. It cost us several thousand dollars to repair. Turned out the contractor didn’t put ANY insulation in the north side of the house. What ever the water bill costs you, it will be less than the money to repair a broken pipe and walls/ceilings. Oh, I’m in Omaha were the current temp is -1.
Exactly.
The few dollars that dripping faucets cost in higher water bills are miminal compared to broken pipes and water damage when the ice in those pipes starts thawing.