Forget the hat. It’s only an external. Work on your midos, on your bein adam l’chavero (including kibud av v’eim), your kavanah in dovening, your learning and performing the mitzvos with joy. Those are the important things.
Think about why you want the black hat. Is it because some of your rebbeim are pressuring you? Is it because some of your friends wear one? Or are there issues you have with Modern Orthodoxy that make you want to associate elsewhere? Be very clear with yourself why you want the change. Remember also, that as you get older you may change your mind, and it’s harder to take the hat off than never to put it on in the first place.
There’s also a bottom line – when you’re older you can put the hat on whether your father agrees or not. Why start a fight with your own father when you can just wait a little and avoid it?