That was a great story - well a great way of describing it - and I totally know what you are talking about.
He is of a lower sex drive than you are, every time you approach him for sex he feels ashamed because he can't fulfill you. The feelings of shame are painful to him and he blames you for making him feel that way. This is why he keeps throwing those eggs. If you stop asking he will feel relief - it may reduce the tension in the house but it won't make him step up.
All I would say is get a life, stop focusing on this issue, don't ever initiate AT ALL, act like you don't give a damn, be cheerful and next time he inititiates flirt a little but turn him down (with a raincheck) do this as playfully as you can. Make him chase you - he will feel better about himself.
I'm not saying this will work, but if you keep pursuing him and you are bound to fail.
If what I'm suggesting doesn't work (it'll take a year at least) then please don't waste any more of your beautiful self on him - he truly does not deserve you.
The shuffling instead of skipping is where I was in my M for about 6 years before it finally ended. Now my skip is gradually coming back.
You have kids and so do I - I swear mine are happier now, they fight less and are generally more content with life although they do miss having their Dad live with us. The atmosphere in our house is way more positive - and I believe they get that when they are with him too.
if we can be sufficient to ourselves, we need fear no entangling webs Erica Jong