I do live in the U.S. and I do have a couple of BD shirts but I would NEVER wear them with a suit. All of my button-down shirts are made from soft cotton and I love to wear them casual style. I just think that a regular, hard collar shirt looks very sharp with a suit but that's just my opinion (actually not just mine, here's another example:
Skip to the collar shape part.)
Oh, my bad. I think I would still skip the tie though imo.