Chlorine after use or every couple of days is what I suggest.
Personally I think your green tint is coming from something else. Speaking with my tech he seems to remember it was a case of to low or to high of PH. Its been awhile since he had to deal with it, but he remembers raising or lowering PH and the green tint went away almost instantly. You on a well system? Or it could be something else??
Asparagus??