I wouldn't send the letter. It will more than likely just infuriate your W. No one in her family needs to be a part of this process. Getting them involved, in my opinion, is one of the bigger no-no's, regardless of your intention. Save the letter for when you no longer care whether you reconcile or not, then you won't have to care if it hurts or helps your cause.
In the end, it's not the years in your life that count. It's the life in your years. Abraham Lincoln
It is hard to fail, but it is worse never to have tried to succeed. Theodore Roosevelt