Corrective Jaw Surgery/Question for Jaw Surgeons and Orthodontists?

I have a 3/4" overbite. I am 20 years old. I have had braces before and they tried doing the corrective jaw surgery while I was younger but I completely refused. I was about 13 at the time so of course I was terrified. Now that I am 20 I feel like I regret not having it done when I was younger. So I scheduled my appointment to have my wisdom teeth cut out and 4 bicuspids removed in preparation of the surgery. I had this procedure done 4 days ago and I'm still in a little pain. Now....I really don't want to go through the rest. I don't want to have the corrective jaw surgery done anymore. I'm really scared about the surgery but I'm also terrified at the fact that I'm missing 4 bicuspid teeth. I am scheduled to have braces put on in about 3 weeks. Is there anything I can do besides the jaw surgery? I am so indecisive. I feel like my overbite isn't something I should stress so much about but is there anything else I can do to avoid the jaw surgery in the future? Can braces alone fix this?