I definitely wouldn't send the letter. It doesn't sound at all detached and I suspect will make you feel better in the short term, but not in a way that is speeding up the healing process. I think it would delay it if anything. I see no reason at all to tell her all those things. It is much too personal, in my opinion.
Act like someone who thinks what you wrote but don't write it to her. Show her that you're moving on, don't tell her. Only respond to texts about the kids, for example.
Good luck!
Me: 51 H: 52 T: 23 yrs M: 19 yrs S18, D16, S14 (special needs) PA: 2003/2004 Piecing: 2004 on Suspect H had EA: 8/2012-12/2012