I had some kind of rheumatic / autoimmune testing done, but that wasn't very conclusive. It was sometime at the end of 2013 or so, so I don't remember what kind of test it was exactly.
I've also had that scalp issue for years before my EC started (seborrhoeic dermatitis), but am now using a Ketoconazole shampoo which helps pretty well with that. You might want to try it if you have not done so. No other inflammation as far as I know, but I'm generally (genetically?) prone to skin issues.