I’ve played a lot of Battle net games by installing battle net in lutris, then installing the game I want to play there. There’s a lot of scripts you can find for installing particular games. I can’t speak for whether HOTS works, but I played many many hours of WoW and Overwatch (before 2) that way. It’s annoying using a launcher to run a launcher to play your game, but it works.

I’ve been using Garuda for… Two or three years? I’ve done a lot of distro-hopping looking for something that won’t just break on me. I used Ubuntu for a long time but kept running into situations where it would break, such as boot loops. Eventually I settled on Garuda because it ships with newer software and Nvidia drivers, which is helpful because I use my PC for gaming. I have stuck around because it’s garuda-update command automatically makes a backup of your system out of the box, and you can select to boot into a backup in grub then restore it really easily. There have been a couple times where something has broken on an update, but when that happens I can immediately restore the backup, and I don’t even need to remember to run a backup manually. I do feel that the default theme is a bit gaudy so I swapped it to a default KDE, but other than that I’ve had pretty much only good experiences with Garuda.

I’ve personally been using a raspberry pi with a Bluetooth mouse and keyboard. I just run jellyfin in Firefox and navigate with the mouse - the keyboard rarely ever being necessary. I was able to increase the icon size so it’s acceptable on a tv and bookmark any streaming websites I use. It’s certainly not as clean as using something like an apple tv, but it’s serviceable and I don’t have to fiddle with plugins like when I tried Kodi. Honestly though, apple tv probably fulfills what you’re looking for like others have said.