The Alternate approach works great! I had a similar issue with Foreign Currency AP accounts where all suppliers had been Paid, and the AP screens showed 0.00 but the balance sheet still showed small amounts.  the Home Currency Adjustment Check box on the JE did the trick. to move the amounts off to Exchange Gains and Losses.

I am a bit surprised that the Standard AP process didn't charge these values off to Exchange Gain/loss when they first happened... perhaps because i needed to make a deposit payment ahead of receiving the invoice/product. Hum?