I asked her to return to counseling with me and she said the thought of two men telling her what she should be doing makes her want to throwup.
This is statement is very telling - full of venom and anger.
It is time to search for a female counselor for you to go to together.
Tell her your marriage means too much to you, you want to fight for it, and you want to have a great marriage with her. Not OK, but GREAT!
Has she given you any reason for her withdrawal and why she no longer wants to be intimate with you?
My guess would be the last counselor said something to her she did not like. And, in some way it concurred with what you have been trying to say to her. She didn't want to hear it or accept it, so the way to punish you was to stop intimacy.
Gentlemen, I certainly wish I could talk with your wives. Having been in a place several years ago where I no longer felt I loved my husband, and had no desire for intimacy - I could share my experiences.