I tried using both Configure SMTP and WP Mail SMTP to send all domain emails through my donotreply Google Apps email address, but neither plugin worked. Attempting to send test emails through either results in the error SMTP -> ERROR: Failed to connect to server: Network is unreachable (101). I entered the information correctly (smtp.gmail.com, port 465 OR 587 [tried both], SSL [also tried TLS]), but it cannot connect.
Is there something I may need to configure with my host or on the Apps dashboard to make it work properly? I had it working with this Google Apps account on a different domain with my same host, but that WordPress installation has been deleted.