Interesting idea. You'd only pair up people asking for a random partner, I guess. Some do not want to play doubles.
Yes, they would commit in the following fashion:
Doubles with Random"
Assuming there is no player named "Random", the manager would add this person to a pool of players to be randomly paired up at the time of the draws being made.
Just an idea... I'm sure a bit of specifications or tweaking will be necessary when I suggest this in December.