I work in drug development, and have done a lot of work in topical drug development, specifically for skin diseases. Psoriasis gets most of the attention, but there's a lot of work being done on other skin diseases, as well
"Eczema" is kind of a catch-all term for a group of diseases, which is one of the reasons treatment is so difficult. One kind is often mistaken for (or even indistinguishable from) another. The most common, though, is atopic dermatitis (which is hilarious when you look up the etymology).
So that said.... Have you tried JAK inhibitors? Ruxolitinib is one of the best ones, formulated as a cream called Opzelura. It's at least good for flare ups.
Unfortunately, there aren't really any good drugs for preventing it. If you want company on that one, talk to the asthma community.
But.... There is work being done. I've worked on it. I've had companies spend millions on the work. I haven't seen anything very promising, but maybe you can take some comfort that there are frustrated scientists working on it, and pharma companies poised to take all of your money once something is found.
A doctor seeing 36% O2 sat wouldn't be concerned, they'd just pass the patient off to the coroner.