What surgery will produce the best possible aesthetic outcome for a female with a cross bite and underbite?

My orthodontist says I need braces (for 2-3 years) before going through with surgery but the braces just isn't an option for me. I want surgery that will correct my facial deformity and improve my looks. Although I get headaches and jaw pain, I'm way more concerned with the cosmetic outcome. Would like a thinner face and profile. I don't know if fixing the underbite will give me the chin/lower face I want. Possibly will need jaw reduction too? What should I do?! Any input will be greatly appreciated!!!

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