If only there were a series of mirrors, each N light-years away, you could blast a one-time pad out to the mirror of your choice and then announce the date the reflection is expected to arrive.
[0] http://en.wikipedia.org/wiki/Lunar_Laser_Ranging_experiment [1] http://en.wikipedia.org/wiki/One-time_pad
Or maybe some sort of superconductor/magnetic state device.
An active repeater would give you 1/r^2, though. For example, you could ping Voyager I for a 36-hour delay. However, that's likely not feasible at light-year distances, let alone the problem of getting the devices there. :)