Button down collar with suit is a very American look - New England/Ivy/WASPy style. It can be done but the suit has to be along those lines - not a suit that looks very European or modern (waist suppression, etc) or dressy (pin stripes). Plain wool, plan linen or cotton, maybe seersucker.

That said, the shirt jarja linked too is not something to be worn with a suit of any kind -way too informal.