Hi,
Based on the description, are we trying to achieve load balance between these RDS servers? If yes, we can try to deploy RD connection broker high availability to achieve this.
Regarding RD Connection Broker High Availability, the following articles can be referred to for more information.
Deploying RD Connection Broker High Availability in Windows Server 2012
http://social.technet.microsoft.com/wiki/contents/articles/10390.deploying-rd-connection-broker-high-availability-in-windows-server-2012.aspx
Remote Desktop Services 2012 | Remote desktop Connection broker High availability 2012
https://asithadesilva.wordpress.com/2013/09/26/remote-desktop-services-2012-remote-desktop-connection-broker-high-availability-2012/
Note:
Since the website above is not hosted by Microsoft, the link may change without notice. Microsoft does not guarantee the accuracy of this information.
In addition, for RDS questions, in order to get better help, it's recommended that we ask for suggestions in the following forum.
Remote Desktop Services (Terminal Services)
https://social.technet.microsoft.com/Forums/windowsserver/en-US/home?forum=winserverTS
Best regards,
Frank Shen