I'd suggest getting Linux Mint or another distro with a large user base like Ubuntu, Fedora, Suse or Debian. That way if you do run into problems, there'll be a lot of people online that can help you.
The main advantage of gaming-focused distros like Bazzite is that Nvidia's proprietary drivers and Steam come pre-installed. However, if you're a gamer and a streamer, you're probably used to a little tinkering, so you should be able to install both of those by hand. (Both can be done through a GUI.) You might also get marginally better performance from these, but IMO this won't be noticeable enough to be worth the trouble.
If you do choose to go with Mint, I recommend installing the Nvidia drivers through the "Driver Manager" and a newer kernel through the "Update Manager".
Better to use winget, though. That way you don't even need to bother with Edge's initial setup screens.