Coulee is a geological term that describes a deep, steep-sided valley or canyon carved out by a large, flowing river or stream, especially during a period of glacial meltwater. The word "coulee" comes from the French word "couloir", which means "corridor" or "passage".
It's very likely that Douglas Cyn Road is named after the Douglas Coulee, a prominent geographical feature in the area.
Therefore, "cyn" in this context is likely a typo or mispronunciation of "coulee".