Digital BW, The Print

I usually print on HPR (or HPR bright white).
I allow the printer to use color inks to get smoother grey shades.
I got a cool print.
To tone it on PS I add a tint/saturation mask, "redefine" ticked, tint 25:
- saturation 2 to have a neutral print
- saturation 4-10 to have a warm print

Any better suggestion?