There is no need to schedule a cleaning job on a stand alone drive - as all you need to do is put the cleaning tape in - and wait for it to eject.
The cleaning jobs is designed for autoloaders where you assign a slot as the cleaning slot/tape and when you schedule a cleaning job it will pick up the tape from this slot.
When you say eject immediately, how long is immediately - a cleaning tape should eject out in about 1-2 minutes or so.
Mark