Unless you have done something to cause a severe solid build up, I would think that the Calgon or dawn heavy mix with a full tank sitting for 24-48hr would solve the situation. I do this a PM in the black and gray tanks once a year, and then use them without ever doing backwash or other treatments year round.
I keep the gray closed when in use and drain at 80% routinely. Same with black tank, but I suspect everyone treats black that way.
The most harm I have seen is to gray tanks that are left open routinely. Grease and food scum build on walls and smell.