Y'know, a simple solution to this is a weapon and a base.
An admin base with a weapon equipped that has say, 500k range. Huge shield damage, no hull damage and a CD effect etc.
Refire time of say 10 minutes.
If any player comes near that point in that system, it will fire.
It won't fire for another 10 minutes though.
Not completely random but some things like radiation storms, can be predicted sometimes. Those that sweep through certain systems like that Omega one with diamonds would be perfect, or the neutron star one.
It would need a player to go near the point though. The actual weapon etc would be invisible.