Hi KarenMB , welcome aboard.
This is a hard one, those (AA) 4/5 daily 777s fly pretty full, plus you have the annual D3 travel embargo to Europe usually lifted right around that time. Hmmmmm, I suppose if you've saved those D1 passes, have flexible travel dates, and have the nickname Lucky , the odds would be turned a little in your favor. However I have to tell you, my D3s haven't had much luck on that route, they ended up with a week in NYC.

Keep'em flying