recording a group session with just the speaker (me)

[pipZOOM9]

I frequently record the yoga sessions I teach on zoom, and have had to record them just as I teach them, which is in gallery mode.  Is it possible to do this, but record only me?  I need to see people as I teach but when they look at the recording they don't want to see themselves or the other students, they just need to see me.  Is there a way round this?

BTW If I teach/record on speaker view, the image jumps around even if I mute everyone.