I also have v dry, irritated skin and the way I have dealt with it is using a moisturiser that has a bit of hydrochloric acid in its formula, I use one from Garnier. it’s meant to be a night cream so it’s more heavy duty. I also use Vaseline in really dry spots and a rose water spray.
Paula’s Choice have products that specialise in dry skin and it worked great for me. In terms of something more natural, the girlies say aloe vera oil is a great option, you can mix some into your moisturiser.
But the one thing that did it for me was when I stopped using so many products. I don’t know what it was maybe I was mixing things wrong or overloading my skin but I only use an oil cleanser, a peptide serum and a moisturiser now. skin is doing a lot better.
Good luck x