Have you tried a castor oil pack? What about Epsom Salts - this will open your bile duct so the stones can pass. I would not flush until your pain is gone. Have you tried seeking a holistic doc? I hope Telman will chime in on this one for you.
I feel the same way as you about surgery, I will do anything to avoid it at all costs especially if it involves removing a part of my body. After this attack passes, please read as much as you can about your liver and gallbladder so this does not happen to you again.