I don't think it's a parking problem - the wipers will still park correctly if I cycle them on/off and then run the washer.
So I took it to the dealership yesterday for the following problems:
1) the wiper problem above
2) AC cuts off intermittantly when it is very hot outside
Here's the estimate they gave me:
1) $307 for a new wiper switch
2) $440 to replace the control head
This is why I never take my car to dealers for service!
Did I mention that they didn't have either part in stock and would have had to order them?
I'm gonna pick up some cheap blades so I don't destroy my windshield and hope these problems resolve themselves when the weather cools down.