Have you seen an allergist? Once the obvious like STDs and infections are ruled out, you might go that direction and look for something like an allergy to the kind of soap you wash your clothes with, etc. I assume you are not douching? If you are, that would be the first thing to stop, it's irritating to the vagina.
Would this possibly have begun after you had a run of antibiotics? (Suggesting it's time to take some probiotics.) Or, could you in fact need antibiotics? (For example, if you had trichomoniasis, which this sounds like, the treatment is antibiotics.) If this is not inside the vaginal canal but on the exterior, you might try getting one of those peri bottles for squirting water on the (exterior) vaginal area, and use one with saline to soothe your tissues.
Can you get copies of your lab reports? Have you been tested for mycoplasma genitalium? What about trichomoniasis? Trich is one of the more common causes of green discharge.
I agree totally that if you are douching, that needs to stop. If you are using anything scented - body wash, feminine wipes, soaps, laundry detergent and dryer sheets - anything at all that touches you vaginally, stop using it and use scent-free.
If you are using anything except a really gentle soap to wash, stop doing that, too. You really only need to wipe the external parts with a clean cloth in the shower, and don't need soap - it's like a self-cleaning oven and cleans itself.
So check your tests, and what you're using. Make sure it's scent and dye free. Definitely get a good probiotic and try that, too