You literally just need a steamdeck. The EmuDeck software within it is made for exactly this and docking station it to your TV.

I host a Plex server for streaming and my apple TV 4k 2021 would refuse to play high bit rate media. Kept displaying an error message telling me I’ve exceeded the limit. Started searching online and everyone consistently called Nvidia shield pro the best one can buy. Bought it, love it, now have 3. But all I use it Plex. I’ve made my server basically all streaming services combined to one.