Possible to get veneers with an underbite? (Photo)

Prior to considering veneers, I have had different orthodontists suggest reconstructive jaw surgery due to my underbite. I refuse to get such an invasive surgery however would like the appearance of straighter teeth. I have always been extremely self conscious about how crooked my teeth are and as an effort to mask this have been wearing snap-on veneers for my bottom and top set of teeth. I can chew just fine with my snap on veneers. Would I be able to get a dentist or orthodontist that will do