A good bug eating cat! I had a cat that had lived in the wild a year before I took her in. She ate bugs , etc including crickets. A cricket that got in my house had a life expetctancy of 3 cricket noises. one cricket noise and the cat knew it was in the house. The second cricket noise and the cat was in the room with it. the 3rd cricket sound and the cat would nail the cricket and eat it right there where it caught it. The crickets were so crunchy it sounded like the cat was eating peanuts while she chewed it!
Oh , in the absence of a cat to do the killing for you , i would just kill them any way you can , that noise is just too agrevating , especially at night when you are trying to sleep.