Part of my diet change was to stop drinking milk, and to start eating full fat high quality Greek yogurt.

Not to be gross, but here it goes: I used to have to use a tongue scrapper as part of my oral hygiene care. It happens rarely now that I get that white coating, and when I do I know I need to have a yogurt. Just letting a spoonful sit in my mouth for a minute dissolves it.

I do recognize that I have often stumbled upon what works for me by either trial and error, just getting lucky, or following tips from online sources like NT. Probably not the best approach always... My ways are imminently less scientific than some others.