She prefers no contact while you are still initiating contact. I think that if you are convincing to her that you are capable of moving on, it will hurt her pride. She is in the position of power right now because she KNOWS that you are dying for any sign from her that indicates that she is at all interested in you.
Are you still in the same house? Look great, smell great, have exciting adventures for you and the kids to have, and dont invite her... be a WAH. Just give it a try, is what your doing right now working? The only other change in approach I could think of is you ramping up your pursuit... which absolutely will not work.
Have you heard drop the rope? Imagine that you are pulling an elephant with a rope, no matter how hard you pull, it wont move, and you get exhausted, and pi$$ the elephant off in the process. But if you drop the rope, it can come to you under its own power.
I guess I gave the wrong finger to the wrong man...