Lakes can only contain methane. For example, Lake Baikal (Источник: discoverynn.ru). The Caspian Sea is very similar to the Black Sea, but there is no connection to the ocean and no hydrogen sulfide. I think hydrogen sulfide needs sulfur. There is no sulfur in river waters. There is sulfur in ocean water. I think that if the Bosporus is blocked, then hydrogen sulfide will disappear in the Black Sea. Photo from the Internet, the author is indicated on the photo.