I have never liked headsets. I wear glasses so over the ear headsets aren't comfortable for me. Not to mention, headsets are often overpriced and dont sound as good as a dedicated mic with headphones IMO, but I also make music so audio is a bit more important to me. I also just like having separate devices so that if something breaks, I don't have to throw out a whole device.

xlr mic paired with audio interface and whatever flavor of headphones you want is my go to.

I use a mxl 770 mic with a focusrite 2i2 interface and I use shure se215-K in ear monitors for headphones. I also use this setup for making music or for talking with friends over discord.

Focusrite works great on Linux on I haven't had any issues with this setup. This is a more expensive upfront but I haven't bought a new mic or headphones in years so I think it works out to be more cost effective over time.

For a wireless setup, if you're OK with your mic being wired, you could get a decent USB mic and pair that with a pair of wireless headphones.