I agree that it would likely not be looked at, for the various reasons mentioned, or just tossed out immediately if 'apostate' info was seen. Fear of technology combined with apostate info would prompt that reaction.
What I think might work is to leave an actual file folder [the old paper sort] in the men's room or under a stack of literature on the counter, so that the elders would be alerted. [Can't you see the scene of panic when it was discovered?] This file would be discussed and likely locked in the elders file cabinet - a curious elder with time on his hands might show up when no one is looking and read the info. Perhaps several would do so over time. Curiosity killed the cat - and my experience is that elders are nosy as hell and would dig through that stuff trying to find a culprit to hang. Who knows, maybe one of them will investigate enough to get out eventually. In the meantime, the entire body would be on high alert - which is fun to watch.
Jeff