I think you are on the right path with letting go of him completely. Unfortunately it's a rocky road for a while.
I don't know about closure.
I've never gotten out of a love relationship with (immediate) closure, even when I was the one doing the breaking up and I knew exactly why I did it. It just doesn't work like that for me, it takes time to grieve and release it and you are at Day One. I eventually create my own closure, but I've never gotten it from the other person.