What about something a little less balance-altering? What if the Last Survivor (preferably close to the end of the game, final 5 minutes or so) had important items highlighted on the mini map? Don't call the cops automatically, just increase their chances a little if they're the last survivor. Indicate where the fuse, the keys, gas, propeller and battery are located on the map. It's enough to help, but not enough to break the game.