Coach, Stagecoach - should be pulled by two horses with Driver on top. We imagine that two versions are possible:
The first, a Stagecoach, is like the one you linked to with a driver with a wide brimmed hat & handy rifle. A long-haul Stagecoach had four horses.
The second is the same in Black, and the driver wears a top hat.
I would avoid Civ colors for either of these, except perhaps the scarf of the Stagecoach driver or lamps on the black Coach.
Often, the driver would wear a long coat, which would be a light beige for the stagecoach driver, and black for the Coach driver. Sometimes there would be an assistant driver, who would help with defense for the Stagecoach or as Footman for the Coach.