I have an idea for a LPL-proof lock: Take a decent padlock, one that gets high marks from LPL, and then weld a curved steel tube to it ending at the keyhole. Then take the key and cut it in half at the head, welding a long stiff spring to attach the two halves, like a plumber's snake. To unlock, you simply stick the key bit down the tube around the bend and (with some fiddling I'm sure) into the keyway, then you can turn the key to open.

Without direct access to the tumbler, I'm not sure how you'd be able to pick it.