I know you don't want to hear it, but there is a draconian law in the US, established during the Regan years in the "war on drugs" about seizure and asset forfeiture of items, including cash...WITHOUT ANY CHARGE OR WITHOUT CONVICTION AND OR DISMISSAL.... That means you could be found not guilty, and have no other evidence of wrong doing, and still never get the money or property back.
The threshold is about 5 thousand dollars on your person. There is a famous case of a business owner who simply did not trust banks and had 6 thousand on him at the airport which was seized. No charges were laid, the money was not returned. It went to federal court, and was thrown out. He never got it back..and he was a citizen.
You may have the proper import and customs paperwork, but I would be very very careful.
You may do better to transfer the account into a swiss bank or ING account and draw from that.