That is a tough situation you and your family are in. I am not a professional, just a person who has been around a lot of AS throughout my life.
Perhaps your best bet might be to focus on helping your daughter understand why her dad can't show love in ways she can recognize. I know that this can make a big difference for a child.
If they can see that it is a condition rather than a choice to reject them, even though the relationship doesn't change, her understanding of what is going on might.
I know for myself that though I felt great anger and pain in some family relationships growing up and in my adulthood, once I began to understand about AS, it changed my entire world view.
Just a thought. I wish you a better future.