Take a look at BM Sea Glass. I almost used that for my bathroom, but ended up with BM Mt. Saint Anne. If you Google it, you'll see plenty of pictures to give you an idea of how it looks. It's a blue-green-gray that reads slightly green.

Thank you SO much flashpolkadot, megs1030, and hu1967910! To answer your question, flashpolkadot, we tried all of the light colors including Sutton and Lato! If my memory serves, Sutton was more rustic and had a beige/gray undertone. It also had white coming through all of the grain. Lato was more modern and had more of a consistent color throughout, which is what we were looking for, but it was too light (Almost a white-ish, and we have 4 dogs which include a black lab and feared her black hair would stand out terribly). Soho was perfect for us! I agree that Flooret is hands down the best LVF on the market, but so many people don’t even know about it because it’s not sold in stores! It’s so hard to choose, so I don’t envy you! But if it helps at all, you CAN NOT go wrong with soho! I don’t know the style you’re going for, but I think soho would be best for mid-century, beachy, or clean and modern. However, I must say I own a lot of antiques and I love how they look with the soho. Be sure to share photos of whatever you have chosen after your floors are done!

White, I'd think, because that's pretty intense stone and you don't want wall color clashing with it. Or if you want to double down on the greenness, color match with the stone to derive a pale green and accent with black, like one of those epic 30's bathrooms.

The living room will look fine painted in most soft muted greens. Your kitchen will look fine as a white on white kitchen. They already have different floorings and I am think you are correct to worry about how you are going to make the two feel harmonious and not like the kitchen belonged to another home and was just plopped on the back of this house. Even now it looks like you selected a cooler white for the kitchen than the white in the living room and dining room. (Could just be the picture). Whatever color you pick for the living room/dining room you should add some of that color in various shades to the kitchen so the two rooms feel like there is some connection.