Tonyo,
I wish I knew. I have the 1/350 Academy kit also in my stash and have not been able to find anything in regards to rigging. Shipsforever is actually building this this kit. Maybe he has found some info on it. Also, have you checked out Modelwarship.com's forum? Here is a link to a finished model. The only rigging on this model are the halyards for the the signal flags and national flag while underway. That about all I remember from my brief time on the USS Copeland FFG-25, which was many moons ago.
Sorry I cannot help more,
Steve
http://www.shipmodels.info/mws_forum/viewtopic.php?f=59&t=159985