It can be so hard to find that perfect neutral, not too cold, not too warm, but when looking for that perfect tint for my own home I was lucky enough to try Benjamin Moore's Revere Pewter. One of their historic colors, it is absolutely the perfect balance between cool and warm. And as all BM colors, it has great depth and changes color throughout the day with the changing light. I have used it in a number of projects and it has always looked amazing.
I love this description on the BM website, it really is calming and restoring. I have always said it feels as if I am gazing into a cloud. And apparently Candice Olson agrees with my general opinion!
Revere Pewter on Benjamin Moore.