I've always vouched for fully separate headphones + mic for years, though admittedly that's probably less applicable for wireless preferences.
I swear by Sennheisers, currently using a Schitt DAC/amp, though offhand I forget the exact model of both. I used to stream and I sold off all my equipment except for mic RE20 XLR mic. I use an elgato stream deck plus with the xlr dock because funny knobs and buttons but their linux support is nonexistent and the foss alternatives aren't great, but it works.