We're already trying to be stealthy as -blam!-, why do we have to be lightning fast as well? The fact that it happens sooner and sooner each time a beast is killed just makes it worse. It gets to the point where you leave the room and have to head back inside almost immediately.
You're already giving us limited uses of the safe room, why are you giving us limited time outside of the safe room as well?
This seems like something that should be part of Prestige Mode as opposed to Normal Mode.
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Best thing to do for that part is stage 1 and 2 your team of 6 guys damages every dog to the lowest it can be but not dead. The restless turns on once you kill one so make sure you get them all to very low health then the 3rd or 4th stage you kill them all in one run.