How could I fix my underbite without undergoing jaw surgery? (photos)

I was always told I would likely need jaw surgery however when I turned 18 every specialist I saw told me to avoid surgery as my bite was boarder line and not worth the risks etc... this is something that really bothers me. you can see from the photos when I smile my bottom teeth are over lapping my top. Please somebody help with regards to what I can do to correct this? I'm absolutely desperate now. I don't want jaw surgery and I've already had braces on the top, would veneers be an option?