This postcard is from somewhere between 1900 and 1920, courtesy of the Historic England archive.
This is the view I was trying to recreate -- note that the Alderman Proctor's Drinking Fountain is now on the other side of the promenade (see my photo, next), having been re-sited in 1988 after apparently causing problems for the traffic at the top of Bridge Valley Road.
GPS Coordinates:
51.46257, -2.62625
Location: Clifton