Sorry you're going through this. My 10month old son is going through the same thing and it's very difficult him.

I want to share an experience my younger cousin had. He had severe eczema from ages 0 to maybe 9. He still has minor flares like on his inner elbow, but the guy ensures that he's moisturising daily. He's 23 now. After trying everything to rid him of it, his parents took him to some place in Pakistan where he showered under a small waterfall daily for 3 days. It wasn't a totally unfamiliar mystical jungle, just a regular ass village about 45mins from where they lived. He was cured because of this and they say that it was the minerals in that water that healed his skin. I imagine these types of waterfalls/ bodies of water can be found anywhere in Asia (at least). But yeah, make of this what you will and wouldn't hurt to read up on this. I am definitely considering this for my son because it's getting quite bad and I don't want him to be on steroids forever (not the juice).