In my experience of loving, collecting, and studying antique quilts, I would say that an applied binding is more prevalent on 'intricately' pieced quilts such as yours.....as opposed to large block or strippy-type utility quilts, which often used a turn-to-the-front binding.
Yours in black would be perfect.
Or you could finish the edges with a facing so that the edges could retain their hex shapes all around. I'd do that type in the same fabric as you use for the backing.
Going to be great any way!
Jan in VA