Why would you need to search for a queen piece when yours is already captured? No doubt promoting to multiple queens happens in casual games between very weak players, but extremely rarely in tournament play (where you also don't see "stubborn" players playing on in "decisive" positions unless the winning side has very little time on the clock).
Also, for in-person games, an upside down rook can be used as a queen in a pinch.
Also, for in-person games, an upside down rook can be used as a queen in a pinch.