Getting Hair Colour Back to Natural After Dyeing?

I have natural dark brunette hair. When I was little it was dark brown almost black and as I am growing up it had changed to more of a dark brown with random sun kissed blonde streaks here and there. I decided a few months ago to dye my hair with the super market stuff, around the same colour just hiding all the blonde streaks. It was a good colour and I was happy with it, but now it's been a few months and it's fading into a horrible rusty, orange, light brown and I absolutely hate it! I have regrowth and it's so noticeable that this is not my hair colour.

I want to be able to get rid of this awful colour preferably without cutting, bleaching, or redyeing. I have tried anti dandruff shampoo, baking soda, and swimming and neither work and if they have I'm seeing very slow results. I read on another website that using bath salts is a good way to get out hair dye and it works best with purples. I am unsure to try this as my hair is brown and I don't want to change my natural hair colour. Do you have any tips or methods I could do, at home that wouldn't damage my hair or cause me to re dye it?

By J. Hart