This would be: "There were seven white-haired men in the room. He walked over to the dyspeptic white-haired man and asked who the richest, most famous white-haired man there was. Meanwhile, the screaming white-haired man..."
Here, "white-haired man" doesn't seem to be motivated as a unit. So "white-haired" is modifying "man" along with "screaming," and there should be a comma between them.