Wireless headset/mic range question

Hello.
I currently have Stealth 600 gen2 max and the wireless range around the flat is poor. It is cutting off even behind 1-2 walls.
In the same flat, cheap wireless BT 5.2 speaker works great.

My question is:
Would I get better range with Bluetooth 5.0+ headphones and some lavallier microphone as Hollyland Lark? Will the mic quality be significantly better?

What would you recommend? Something that would not ruin me and would perform well behind 2 walls?

Thanks. :wink: