Admire your engineering skills. So little is offered to assist eczema and GD patients we will welcome aids to help our skin be more comfortable.
Memory Foam Danger- Good plan to get a mattress free of memory foam. Besides the heat which even a heavy mattress pad cannot block, my memory foam mattress is what triggered my explosion of symptoms with Allergic Contact Dermatitis, ACD, which I had dealt with for a decade but didn't know about testing. My symptom's were mainly on my hands, face and scalp. They would come and go and steroids helped when symptomatic. Then I bought a memory foam mattress hoping it would help me sleep better. I didn't realize what a chemical and natural element stew memory foam is. Polyurethane foam is different.
Memory foam is compounded using different elements in rubber. One element Mercaptobenzothiazole, MBT, synthesizes the blending of materials. I tested highly allergic to it. After a month my entire body inside my skin became inflamed. Stinging, zapping, burning and itching. 24/7 and worse at night when our histamines are elevated. I naively didn't think about the mattress as the cause. Living like that for 3 months I was planning my suicide. Life was unbearable. Thank god I accidently learned about the 5 Day Extended Patch Test which my derms or family practice doctor had never ever told me about. If you contact the mattress company they cannot tell you which elements are added in synthesizing the form.
Even if you don't have ACD and have not been tested positive for memory foam, toss it out now! Off gassing, not just direct contact, can over time lead to an allergic allergy.
Tempurpedic has multiple lawsuits against them for allergies to their foam we never are warned about. In fairness mine was an off brand I bought at Sam's, yet clearly it poisoned me.