Scaly skin like you mentioned can be psoriasis. I can only use hypoallergenic products and even some of them bother me. I did find a great product that seems to help with many types of skin irritation. It's called Freederm. You will likely look at the website and think "it sounds too good to be true" but it really works! I've been using it for about 6 years now and love it. I used to have a raised rash type of bumps all over my face. Within a few days, it was tremendously better. Much better than the prescriptions I had from the dermatologist. Here's a link:
http://www.freederm.com/
I'm not affiliated in any way, just a very satisfied customer.