Euphonium mouthpiece

Hi, since Christmas is coming up I decided to treat myself with buying a mouthpiece. I know that every person needs a specific mouthpiece but just help me out here. I am currently studying for a music major and I am using a gold plated JP 274 with a Denis Wick 3AL which I don’t really like, I always feel like my tone is horrible and even worse in recordings (I really hope it’s not me) I want a full bright but at the same time dark tone like Steven Mead even thought it’s hard to ask. I have very full and wide lips considering I am a boy and an overbite. Does anyone have recommendation for me with my lips and model. Keep in mind I try to not go over 200us dollars. Thanks!