Since the bags are tagged anyway, why not redirect a bag to a specific conveyer and tell this conveyer ID to the passenger e.g. at check-in ?
To get the idea further, the conveyer should be surrounded by slots. A passenger then could go to any slot, show a bar code slip to a reader and then the selected bag would be kicked of the conveyer to the slot. Of course, there should be several people waiting for their bags in a single slot, due to the long latency of the conveyer belt. This would also reduce the risk for thefts.