Perhaps a trail of bloody chicken parts into a small, pitch-soaked outbuilding of some sort. Once the stirges were inside, throw a torch in and slam the door.
You know, you could modify that for an evil-aligned village. Let's say you have a cutpurse in the local lockup. Let's say this lockup is made of stone. Smear the prisoner w/ chicken blood, and throw lots of dead chickens in there. Put plenty of pitch soaked kindling in there too. When the stirges flock to the building, throw in a torch and seal the door. Come morning you have lots of dead stirges and one dead cutpurse.