Recommended VNC Solution?

The key restriction here will be the speed of your internet connection. Regardless of which solution you use I don’t think you are likely to find that your connection is responsive enough to deliver satisfactory experience. By and large the specifications for the beefy gaming box won’t alter this - remote access software is often designed to be bandwidth efficient, not realtime-responsive.

Having said that, I’ve had some success with Teamviewer, which is not open source but free for your own personal use, when I’ve needed to remote into a colleague’s machine to make a minor alteration or two with a level they are working on.

Newer versions of Windows support hardware acceleration over RDP I believe, which could potentially be better, but may not work with third party clients.