strafeRight.com has just launched an America's Army 3 Honor server. You can download AA3 for free via Steam or the AA3 Deploy client. The game does have issues right now, but most of them stem from the Authentication servers being overloaded.
Server Name: StrafeRight.com AA3
Server IP: 126.96.36.199:8777
Be sure to add it to your favorites list!
You can find the server status on the AA3 page below.
Right now it's 24/7 Ranch. It might change later if people want something new... and they fix it so you are able to auth when it changes maps instead of kicking you to the main menu... But the server has been full since last night, so that's a plus.