Go Hi Fi, not headset style.
You can't have it both ways with a single mic.
Most people in a conversation using a headset, do not want any background noise to intrude.
Some head sets are just junk and a waste of money, but the best don't come cheap.
The odds are that if you use a suitable microphone it will sound to the listener as though you are in a railway station with a high level of background noise all the time.