I bit the bullet and did "pay only the required fee of 0.00001000 BTC."
-Sent at 5:13PM  6/5/2017.
-Amount: 0.01128000 BTC, approx $30 according to BTC-e's estimate at the time.   
-Fee of 0.00000226 BTC [0.225 kB] was attached. (less than a penny).
-For this transaction, 3 confirmations are required.

I'll update you when, if ever, the transaction is confirmed. Good night!!!