Warning about Shield TV, if you have two monitors you are going to have a frustrating time. You can’t pick which monitor the shield TV loads the game from. This meant about half the time the Shield would load games on my primary monitor but render the secondary to the Shield TV. To fix this I had to unplug one of my monitors and replug it in until the ordering kinda fixed itself, but the next time I rebooted it would be borked again. I returned my shield tv due to this, as it was worthless as a streaming device for me.
Granted, the steam link was also broken, in that it would render at native 1440p (even though it downscaled the video to 1080p over the network), but it would restrict mouse movements to 1080p. That meant I literally couldn’t click on UI elements in a bunch of games.
I ended up just using a very long HDMI cable, though my gaming TV is in the same room as my PC.