I've seen many replys on here saying they have left their fish on ice for as long as 3-4 days "making sure the water stays off ,leave drain plug open on cooler".......but I usally dont keep fish.When i do its only a few that I will fill like cleaning myself that day.
So to answer your ? I dont think 1 night on ice in a bucket would hurt.I would just drill a few drain holes.....my expercience with fish that site in cold water not ice gets musheeee.