Maybe use a step up transformer, hook it up to the fence and bring it online when intrusions are detected?
If you keep it just far enough from the electrics the arcs will only zap whatever is wandering around near the fence. Sure, initially you could end up cooking a couple of bunnies that got too close in the process and annoy PETA, but even leaving those charred remains nearby could prove educational enough for idiots not to try and approach any closer, and any guns would become nice conduits.
It also creates a nice argument for keeping the vegetation on a distance to prevent a bush fire, so win win. Just make sure you have some remote control or it'll be a sod to service.
:)