Find a paint store that does custom spray cans and simply get one in White Dove. www.myperfectcolor.com can make any brand, just about any color in aerosol.

My BM Bone White color came out very well in SW Pro Classic Enamel. We used that in our kitchen (the painter's preference) and I know it is a good match because everything else in the house is the actual BM Bone White. Just about to do what you are asking about for our MB cabs--BM White Dove, but using SW. I am not worried, at all. Since White Dove is such a popular color, I'll bet SW mixes it frequently. Maybe they already have a formula in the mixing computer so they don't have to "read" it. I would make sure to have a bit more than you need mixed up, then combine cans, just to be sure....

I can say I might trump you on living in a dreary area! I'd buy some 4 poster boards from Michael's or where ever you have locally cut them in half so you have 8 pieces to sample 2 colors. Leave a 2" border of white all the way around and paint the rest with any of the colors you choose or any I have mentioned. I'd go for City Loft or Aesthetic White. Shoji is another that will lean slightly gray, but I didn't sample it as I'm familiar with it in other spaces and for my space and furnishings in the eat in sunroom I knew it would not work. It really is a lot of work, but to get it right.... You have some interesting colors and the only way to know is to try even though it's a pain. I'm not done, but here is a photo of Aesthetic white in my sunroom. TALK ABOUT DREARY and you can see high it leans a bit slight gray. I cropped the photo as this is the only spot I have 2 coats to have you best see. The room has three taller windows left and right with a paned single door to the backyard and on the back wall 4 large paned windows so there is a lot of light in this space. As you move in to the kitchen it's not as bright, but the light from the sunroom toward the kitchen makes the paint look a pinch lighter more like the bottom of the photo. I hope it helps you and as I mentioned paint can change from room to room. I found it a nice compromise I was very torn between Egret and City Loft and Aesthetic White all having slight nuances that differ, yet barely. I had used Aesthetic in an office I did recently and loved it so I tried in in my home and well.... I do love it and will use it more in the future.

The closest is this Sherwin Williams colour.