I sure don't have a solid answer for you but it seems you've checked everything else. Some here have had trigger bar issues and once they were replaced all was well.
Since that area is virtually a no mans land for the average owner a call or email to kahr describing in as much detail as you can your issues would probably be the next best step.
If you haven't already I would try factory ball ammo, leave all reloads out of the equation for now. I suspect that isn't the issue but have to eliminate that possibility.
The trigger is resetting or you have a dead trigger following these misfires or light primer strikes?
In Memory of Paul "Dietrich" Stines.
Dad: Say something nice to your cousin Shirley
Dietrich: For a fat girl you sure don't sweat much.
Cue sound of Head slap.
RIP Muggsy & TMan
"If you are a warrior legally authorized to carry a weapon and you step outside without that weapon, then you become a sheep, pretending that JOCKO will not come today."