As a result of some good debate from this thread (New Faction, and the return of Fear mechanics!), a card to keep check on “free influence” homes such as Beyond the Veil (and the Spirit Fortress archetype) but not designed as a specific counter (thus having general application):
Crossfire (title needs work…)
Condition
While this card is attached to a location, it loses all abilities and traits.
If you win a shootout, you may discard this card or attach it to a location adjacent to the shootout owned by the losing player.
Noon Job: Mark a location owned by an opposing player. If the job succeeds, boot the mark and attach this card to it. Your leader (if still in play) gains a permanent influence or control point (choose one).