I still have a leak in the wall when the shower is running, but as a perverse form of compensation, I have no hot water, so the shower won't be running much.
Cold water is better than no water. Ice cold showers are good for blood circulation, I think. About five or six years ago I spent about a week heating water in soup pots in the morning in order to bathe because my water heater sprang a leak. It only added about five minutes to my morning routine. My skin felt better as well because I wasn't sitting unnecessarily under hot water.