Personally I do pretty well with eggs. But I don't consume large amounts of it on a consistent basis. I will have 3 eggs for breakfast 2 or 3 times a week. I know some people who would religiously eat 4-6 eggs per day every day, and would end up with some auto immune issues. But if you are doing fine with it a few times a week I would probably give it another try. My auto immune issues were allergies and IBS. Removing gluten and dairy was the key to getting rid of it for me. But eggs have never given me any problems.
My advice would be to start adding things back into your diet one by one to figure out what are the triggers for your arthritis. If the eggs seem to flare things up then you will know its a culprit.
"If man made it, don't eat it" - Jack Lallane
People say I am on a "crazy" diet. What is so crazy about eating veggies, fruits, seafood and organ meats? Just because I don't eat whole wheat and processed food doesn't make my diet "crazy". Maybe everyone else with a SAD are the "crazy" ones for putting that junk in their system.