Regardless of what your CO says it looks like you should probably take your child's mother to court to force visitation rights.
There is an organization,
http://www.fathersrightsinc.com/, that helps dad's get their rights in these kinds of matters. They may be able to help you with attorney fees. You can show proof of your support over the years. You can also get a statement about your character from your chain of command showing that you would be a good influence in your child's life.
I understand that cutting off child support finally got her attention. But in my opinion, that's the wrong course of action to take. It's not your daughter's fault that her mother is taking these kinds of actions against you. It is your responsibility to continue to support her.
Yes, a daugher needs a daddy in her life (I know, I have 3). Fight for her but continue to balance that with respect for the mother. A hard line to follow but how your daughter sees you treat her mother will shape how your daughter views a potential boyfriend/husband later.
"Try not to draw the enemy's fire. It irritates everyone around you."