I'm using a setup that i already had when i was still on windows, but it's pretty much a driverless setup so it worked on linux just fine.

I use a JDS Labs dac and amp that i bought years ago and they still work great, the dac is plug and play. I paired it with a sennheiser HD660S that i'm still very happy with. Unless wireless is really important to you i'd recommend wired because they offer the best quality in terms of bitrate. With my sennheisers the nice thing is that the cable is easily replacable because they're just plugs that you can pull out of the earcups.

For discord i'm using an old usb mic that i bought years ago that seems to work fine.

Basically what i'm saying is don't bother with the gaming headsets. The one thing i miss on linux is dolby atmos tbh. On windows i used it for virtual surround sound as a replacement for the gaming headset software, but last time i checked you can't use it on linux. Some games have virtual surround sound baked into their settings, which works without OS-level software, but for the games that don't i miss it. I'll probably keep using this audio setup until something dies cause i'm just really happy with it.

Edit: you could also pair good wired headphones with something like a Fiio BTR15, which also supports bluetooth. That way you can still walk around with the dac/amp in your pocket. There's still going to be wire between the headphones and the amp of course, so it depends on how allergic you are to wires. I bought a Fiio mainly as a more portable wired setup for my phone/laptop.