Most of us with eczema have another autoimmune disease, or will develop one in time. Like you my itchy skin started in middle age, common for ACD. With a shower cap I use a wide 100%, elastic free head band made by Cottonique, then place a shower cap over the head band area so the elastic can't touch my skin. One of my allergies is to an element in rubber, which is in elastic, spandex and so on. I do treat myself to my VMV Clark Wash for hair and body to shampoo about once every 2 weeks or for a special event, otherwise it's Grandma's. Also their conditioner is safe for me. VMV does leave the hair a bit fluffier than my Grandma's bar soap for face and body.I don't use the VMV as a body wash, it's expensive and I love my Grandma's. I have no tested reason why Free and Clear doesn't work for me or others I blog with on my Inspire eczema site, but about 50% of the products that should work for me based on my Patch Test results. So if I find products that work I stick with them. Just because your derm says it should be allergy free for you doesn't make it so. For example Aquaphor Healing Ointment works for me, as it should, but Hydrolatum which should be ok causes stinging.

Also you really need to consider diet changes. I have given up all forms of sugar, even natural in fruits and all carbs for 2 months. Now can gradually add a few back. Still I have lost my sugar cravings. I have never been overweight, but one cannot help but loose weight on this detox regime.
Don' stop your pillow hobby because fiber fill is safe. Keep the pillows you have if they are polyurethane or polyester fiberfill, both available in all stores these contain no rubber. If memory foam, a foam which feels different and can be molded to the touch and contains elements from rubber, avoid.