I am so sorry to hear of your daughter's unhappiness and fear. I just cannot understand why they are making it so difficult for you to transfer. I agree that, being able to do so, would be good for your entire family.
You are doing the right thing by being straightforward and honest with your daughter about your issues and your husband's issues and by giving her an opportunity to speak with someone about how she feels. You are a very good mother and that is why she cherishes you so.
I hope that the issue with her bullies gets resolved and I am sending you and your family my prayers.
Peace and Blessings
Look For The Good and Praise It!