If I remember, Lavabit attempted just such a "Big Sky" tactic with the logs (or a similar set of files) in their case and it was deemed a transparent attempt to obfuscate.
That was the SSL key delivered on 11 pages of printout in 4pt type. A bit less arguable than compelling someone to find the needle in their haystack for you.
[1] http://www.newyorker.com/tech/elements/how-lavabit-melted-do...