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RobertLumley comments on The self-fooling problem. - Less Wrong Discussion
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Build a box that is so painful to open as to be impossible for any human. Place the coin in that box. Put the box anywhere you please.
Fan of Saw, are we?
Anyway, turn the problem around: instead of saying you win if you find the coin, rather say you meet the high-handed enemy if you don't find the coin.
Alternatively: build a box too painful for a human to open. Leave it on the kitchen table. Hide the coin somewhere else. Laugh at the misfortunes of your future self and/or worst enemy.
Hmmm...But don't the rules (especially as clarified here) specify that your future self will be able replicate any chain of reasoning you use? I doubt a trick like this would work, for the same reason any ordinary hiding place wouldn't work: Your future self would retrace your cognitive steps.
Never seen it actually...
Warning: not for the faint of heart, overly empathetic, pregnant, those who may become pregnant, or anyone with phobias, anxiety disorders or stress disorders of any kind.
That said, I thought it was pretty good. (The first one, anyway- the sequels devolved into gorn.) In case it hasn't become clear from context, the connection is that the movies are famous for portraying very similar situations to what you describe - the key that unlocks the bomb collar is hidden somewhere in a pit filled with hypodermic needles, for instance.