@Ragman,
You blindfold the queen, hold her up above the masses of workers, and then threaten to sterilize her if they don't get the hell away. Once they see that you hold all the cards and that you mean business, their loyalty to the queen will override everything else.
You can also put the queen inside a fine-mesh tea ball on a long string and slowly pull it down your driveway and across the road to a dogless neighbor's house . . . at night, and leave it somewhere in the higher grass.