ah-TRAY-dees sounds about right to me. Though I wouldn't bother to put in the extra -a- to get the extra space between trei- and -des. By comparison, Achilles is pronounced ah-KILL-ees, Herakles HER-ah-klees, Hades HAY-dees and so on... At least, that's the accepted english pronunciation. It may differ in actual greek, but FH didn't intend that I'm sure.