Maybe I missed it but why are you so against using a nonstick pan?
Because non stick pans are all different and all seem to require different ways of cooking.
Cooking with SS and CI is more of an art, and most SS pans are very similar.
They say you can season an SS pan easily, and then cook without oil and get no sticking.
That's what I'm going to try now and it should work.
You just heat the pan, add 1 TBS of coconut oil until it starts to smoke, then remove it from the heat and let it cool, pour away the oil and wipe it out, and it should be non stick. Also, you then cook at med/low heat, and you don't wash it with soap.
I saw a lady do this, and another lady that heats the SS pan up until water dances in the pan, (they say this is important), then adds a small amount of oil, and the eggs, then reduces the heat a a little. But I like the 1st idea better and will try that first.