I’ve played around a bit with Remotely (https://github.com/immense/Remotely) from what I’ve seen it’s great for when a family member needs some remote support, it also has persistent agents for some stuff. Personally for remote administration I LOVE Apache Guacamole, it’s super handy being able to use RDP/SSH/vnc/etc from a browser.
Edit: after reading the post it may not be what you’re looking for. I don’t think either of those would be good from an FPS standpoint.
I will never be able to not chuckle when I remember Apple’s claim that touching the screen was a 0-point swipe and they owned swiping… No one else could swipe quite like them lol.