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If you shut down radio emissions with a century or two, you're not taking up much time compared to the age of the galaxy, or the time it takes to travel around (if the speed of light really is limiting, which I assume it is).
Any self-respecting robot (and I think a self-replicating one would also be self-respecting 
) could use stars to orient itself so it would know which direction home is. Yes, I suppose you could broadcast in every direction (though it offends my sense of efficiency), but, if I was worried about aggressive species, I think I'd worry they'd be able to trace the route of a robot back, somehow.
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