Alternatively, you can put the punishment on criminal factions in a lawful area.
Find exterminate missions that target criminal factions in a system and wipe them out, and take the regulator.
Gives you what you want, while not affecting anarchy systems, and you get to feel like a good little citizen helping clean up the streets..err...stars...
Better yet.
Boost the anarchy
up from where it usually sits at 1% in a lawful area with any notable traffic.
Get them into a war with whoever holds most of the settlements.
When the war triggers, spread your efforts around fighting for the anarchists, ideally at least one zone in every single settlement that's being fought over.
If you want to be really cocky, do it all on one day and spend the remainder of the war fighting for the other side in space zones so that the anarchists lose the overall war, but have the most wins at most of the settlements.
Then kick them back down to 1%, now in control of a bunch of settlements.
And there you have it, a lawful system with several anarchy settlements to act as mission targets.
Do it to enough settlements in one system, and even a negative state won't knock them
all offline. Do it to enough systems within 20ly of your home, and you'll always have a place to do your dirty work.
Everyone keeps talking about "farming" anarchies, when at best they're foraging. Gathering. Descending on a settlement like a swarm of locusts and wondering where all the anarchy settlements went because they all decided to "fight the baddies" when the wars kicked off too.
If you want to call it a
farm, you have to actually plant things.