How would I get from the dac to my a amp on the other side of the room?
Not sure I fully understand your digital audio player setup, but I'm assuming there is a desktop version of the player?
What I am suggesting is to have either an old laptop or small windows system setup near the HiFi system, running your NAS player, with the DAC connected to it.
Then you can install a remote desktop application on both the PC connected to the DAC and on your tablet. That would allow you to pretty easily control your PC from the couch over wifi with no cables around the room. You could test this out first with a smartphone and laptop to see what the interface is like.
I've used this method to control a crypto miner remotely from my iphone. The touchscreen support is pretty good, and on a tablet it would be better.