A colleague of mine visited me in my clinic and was suffering from a severe overlap in her lower teeth, in addition to teeth protrusion which together had a clear effect on her smile.
She completely refused to extract any of her teeth to solve the overlay problem.
So I resorted to ceramic braces (white in color), and fortunatelly, the overlay problem was successfully treated without any tooth extraction, and the teeth protrusion was almost treated too. In the end, my colleague could regain her confident smile.