I'm no networking wizard so this isn't really my area of expertise but I have a few thoughts and questions. Why do you need three layers of RDC? Is this due to networking constraints, where the ultimate server (I'll call it the prod server) you are trying to reach is unreachable from the internet directly? You might be able to tunnel into the server using ssh tunnels (see this guide [1]) through an intermediate server which your computer and the prod server both have access to, and then you'd be able to directly scp or rsync files to the server, as well as run commands over ssh, but this would be increasing your attack exposure from a security perspective, which folks may not be happy about since you're at a large engineering company.
A few questions that would help me give more actionable advice: What is the "tester" you're using? Is it essential to interact with it via a GUI or does it have a command line interface you would prefer to use? Is the OS Linux or Windows? What are the the three layers of RDC?
Feel free to email me at my hn username @gmail.com to discuss further since this is getting pretty specific to your setup! Sounds like a fun problem to try and solve :)
A few questions that would help me give more actionable advice: What is the "tester" you're using? Is it essential to interact with it via a GUI or does it have a command line interface you would prefer to use? Is the OS Linux or Windows? What are the the three layers of RDC?
Feel free to email me at my hn username @gmail.com to discuss further since this is getting pretty specific to your setup! Sounds like a fun problem to try and solve :)