Play random tracks from the library

I'd like RhythmBox to be able to play a random selection from my library. Two obvious options:
1) if there's nothing in my play queue, and I press "Play", it'll just keep playing random tracks until I put something in the play queue (this is what the "listen" player does in ubuntu)
2) ask RB to populate my play queue with a random list of songs, and then to add new ones at the end as they play (this is what the "amarok" player does in ubuntu).

I've got well over 10000 songs, and sometimes I like to get a serendipitous selection. This seems like an astonishingly obvious (and hopefully pretty easy) feature to add to RB!