You can buy a water filter for your shower head and wash your face with the greywater you collect from it. Just put a basin in your shower to collect water while you wait for the water to heat up, and you can use that to wash your face. Not only would this allow you to have water that isnt hard to wash your face, but you'll also have water in your shower that you'll use all over your body and hair that won't exacerbate your skin. There are non expensive water filters on amazon that are easy to install like this one: