The best way to handle SHBs is with screen bottom boards (SBB) and an oil tray. If the bees knock the SHB down it falls in the oil and dies, if the bees remove a larva or egg, it ends up in the oil and dies. If the larva develops it leaves the hive, falls in the oil and dies. I have killed thousands per month per hive whit them and seriously reduced the beetle problem here. When I started using them, the trays would bee solid black with SHB every month. I had to clean them every 30 days.
Jim