Advice for Silver Hair and Red color conditioner.

Hi there. So I've always wanted a dark root to silvery ash balayage and to achieve that I had to do two bleach sessions and over 10 hours of work. (I went from having red toner in my hair to the silverfish color). My hair really does not hold toner well and by the second wash (even with color-safe shampoo) the silver had turned into a greenish brownish yellow). I have Redken Graydiant shampoo and conditioner plus a Redken Icey Blonde blue hair mask, but those have done very little to keep any sort of silver remnants in my hair instead it just gets a little greenish. So I decided to mix a bit of red deposit conditioner (Biolage Red Poppy Color Balm Conditioner) I only mixed about a dime-sized amount into a large palmful of the Redken mask and unfortunately, the lightened parts of my hair picked up the red. I know it's ridiculous but I'm freaking out because my hair can't take another bleach session or keep fighting off that orangey-red color. Does anyone know if that balm stains hair (it's not a permanent dye at all but red stains so bad)? Or any tips on keeping your hair a silver color?

Thank you very much. I'm sorry this was a little long-winded.