Hmm, baffled by the high-wing thing. Possibly because the wind-speed is lower closer to the ground???
As for how to park your aircraft, here's what I reckon, after a little bit of thought:
Tricycles
If parked into wind, you would want to secure the elevators in the down position. Securing them in the up position would mean that the wind blowing over the elevators would raise the nose, and increase the angle of attack so that the wings would lift the aircraft off the ground.
If parked away from wind, the opposite is true - if the elevators were secured in the down position, the nose would be raised by the tail-wind. But, in this case, this wouldn't result in the wings generating any lift, because the wind would be from the wrong direction. If the elevators were secured in the up position, the wind would cause the nose to lower slightly against the pressure of the front oleo or spring. Can't see how that would cause any damage unless the wind was very strong.
Tail-draggers
In the three-point attitude, a tail-dragger's wing is at a high enough angle of attack to lift the aircraft off the ground without any further attitude change. So it seems like parking away from the wind is the only sensible option.
With the elevators in the up position, the wind would try to raise the tail. Therefore, securing the elevators in the down position seems preferable.
This is all based on thinking things through logically - no personal experience or sources to quote from. So it's entirely possible there's a flaw in my logic. In fact, I'd probably go so far as to say I'm sure there's a flaw in my logic - now I just need to wait for someone to tell me what it is!
FFF
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