I agree with that as being a possible source of the flood story, especially when you consider that countless tribes and villages in that region would have been inundated when (if) the waters from the Mediterranean flooded over the natural barriers when the ice melt raised the sea level. It would have been an initial rush, and then a gradual rising until the water level stabilized. The survivors would migrate south into Sumeria, and there would be all kinds of tales about the event, including the one about the prescient guy who built a boat and saved his livestock.
Over thousands of years, the story gained elements, the notion that the flood was brought by God and that Noah rounded up all the animals in the world, etc. The Jews, a Semitic tribe originating in that region, carried the story with them when Abraham migrated west, changing the names and details to suit their own cultural needs.
So God made Noah spend 120 years building an ark when Noah could've just picked up and walked a couple days to high ground away from the Black sea? lol