Laughing, Honey - don't think we're beating on you, we're not. You know how hard tone is to convey sometimes in print.
I ABSOLUTELY understand why you don't want D to go with H - I wouldn't either. I'm just worried that you will be playing right into his hands if you don't send her, and hope to help you avoid the worst possible outcome, which is the judge taking custody away from you.
If she goes, she will just have a bad trip - and hopefully ruin everybody elses trip too. If you fight to have her stay with you, you may be giving ammunition to H so that he can make you look like you really are some alienating parent. Don't fall into the trap that is being set for you. Be very, very careful and very, very crafty. Talk to your attorney. I bet they will give you the same advice.
It will be better in the long run for D if she goes and has a rotten time, than if you keep her and they wrest custody away from you. Sucks, I know.
