Veneers are not going mask an overbite. It is great that you are actively seeking opinions to treat your case... I think you will be very happy once your teeth start to move. Orthodontics first is definitely the way to go. An overbite can continue to get worse and eventually...
Sometimes (usually?) veneers need to wrap around the teeth to hide the edges, so it is common that there is enamel shaping that goes between the teeth and the tip. Often it resembles a 3/4 crown. Is there a difference if 0.5 mm enamel is reduced or 1.0? Not really. ...
I see that your are already missing two teeth on the lower arch, were they pulled or were you congenitally missing them? You definitely show signs of total bite collapse and the treatment of choice is to do orthodontics to correct your bite before you have veneers to correct the chipped...