All headphones are suround sound it's just called sound stage and imaging but if you want 7.1 suround stuff best to look at programs like Dolby Atmos for headphones. Because no Bluetooth headphones I can think of really do that except maybe the audeze Mobius but that's way out of budget
I'd recommend a Bose Headset. I've been using Bose since like 2015ish and using it daily for hours and hours. It has 1 big advantage IMO and thats: its super super comfortable to wear. Bluetooth is perfect, battery life too, once you have a mic like that u'll probably use it more frequently for phone calls (at least that was my experience). So summarizing:
- Good quality mic is given
- Overear style is given
- Super comfortable to wear
- Wireless is given
- AND as its not a gamer esque kinda headset, you can actually wear it in public
For gaming: Discord can actually run via speakers, without the other parties hearing themselves. If you're using another program that doesnt come with that functionality: I just used sth like a Samson Meteor Mic, where you can just plug the 3.5mm in. (or simply directly to your pc). Right now I am using a more advanced Audio Interface as Im making music now.
Kinda off topic, but I cant stress enough how happy I've been with my Bose AE2 SoundLink. My brother has a newer QC 35 (i think thats the name, it comes with noise cancelling).
If i remember correctly, 200-250€ should be exactly enough.