the joys of a 5tb hard drive plugged directly into my TV
You're missing out on the joys of a Plex or Jellyfin server with a quality streaming device plugged into the TV. No way would I waste time manually transferring files around like that. With Sonarr and Radarr I don't even waste time manually downloading stuff.
I use a Nvidia Shield Pro to stream to, it works great for my 4k BluRay Remuxes. I personally hate using the built-in TV features because the quality and codec support can be a total crapshoot.