A genio is definitely not the way forward for you. The lower jaw is recessed but the chin is not....a genio is going to look ridiculous
Actually, your lower jaw looks like mine does, post implant (I have a chin implant). And I've been propose at least 8mm of advancement, and I'm female with a small face. So for you it think it would be more like 10mm if your bite allows it which is the upper limit of what you can advance the jaw with a BSSO
The occlusion may not concern you now but believe me, it will start to concern you when you get to your late 20s and get gum recession because your lower teeth have been pushed so far forward to mask the overbite, and you have no upper lip because your upper teeth have been pulled in.
Orthos do not want to admit that they can't "fix" every bite.