I had life-long eczema, and at various points severe food allergies, anaphylactic reactions, and respiratory allergies. When I went low carb in Aug 2010 was the first time my eczema cleared up...that was no grains at all, and no soybean oils. Totally unexpected side effect. I think it was Dr Davis's second book,WheatBelly Total Health, where he explained how removing all grains, not just gluten grains (and sugar) reduces inflammation. https://www.wheatbellyblog.com/2017...ains-ruin-skin/
There are other components in grains that can impact skin.
https://www.wheatbellyblog.com/2015...oodbye-forever/

There is a new podcast on LowCarbCardiologist with Tucker Goodrich..he has done citizen research into the processed oils. I avoided soy oils for other reasons, but maybe the "oil change" also helped my eczema? Like many, My sun tolerance is now high. Rarely burn.

All the best, hope there is an easy solution to be had.

A cheese allergy can be to the histamines, or by products of fermentation, not dairy. Milk, dairy and cheese can be the same source...or different.

Allergies can drive us all crazy