I'm not an expert on all the various orders that are in play at every exchange, but in the venues I traded in you don't actually see stops in an order book feed. They are orders that do not appear in the book until the stop has been hit at which point they appear (or fill) as regular orders. Someone with more knowledge of equities platforms could chime in if I am wrong about those venues.

I don't understand your trade at all. Could you explain it precisely with the orders someone would put in to take advantage of that trade?