How to configure a Remoteapp server to increase stability
Solution 1:
On suggestion I'm turning the comment into an answer.
As it sounds that you need some sort of keep-alive signal, there is one available for RDP connections but it is turned off by default. The setting which you're looking for is:
Computer Configuration -> Policies -> Admin Templates -> Windows Components -> Remote Desktop Services -> Remote Desktop Session Host -> Connections -> Configure keep-alive connection interval
Just make sure to apply it to your RDS servers and try it out, hopefully this will help.