I use Monkey Brand tooth powder after I brush every other day. It’s great. It’s cheap enough you can buy one for each member of the family. It’s easier that way because you can just dip your toothbrush in it.
https://www.amazon.com/Monkey-Brand-Black-Powder-Ayurvedic/dp/B000BP0NAQ
That has charcoal as well. Are you worried about it removing all your enamel? I use My Magic Mud paste, the powder a couple times a week. A fellow freeper pointed out that charcoal is too abrasive and will destroy enamel.