perhaps if you asked your daughter to write a letter to her father explaining why she would like to live with you better than him he would see that she is capable of making (or not making) this decision herself. It also takes some of the pressure off of you in that it won't seem like you're trying to bribe her.
The suggestion that the other person left may also be worth considering. Her father may be unwilling to be a "weekend father", but if it's made clear to him that he will still have regular weekday visitation as well, he may be less hostile.