Great job of narrowing down the colors! Chelsea Gray HC-168 is a great neutral gray that’s popular for exteriors. Cinder AF-705 takes on a purplish hue in comparison to Chelsea Gray however can work with your navy door. Geddy Gray CW-720 is very similar to Chelsea Gray which also makes it a great, and a safe choice. Be sure to view it next to your door to ensure there’s enough contrast between the gray and the blue. Good luck!

Benjamin Moore has a lot of white shades -- not sure if they come in exterior colors. In the examples from this Houzz post, I like the "halo" -- barely a hint of gray in the white ... something far better in a white than a yellow or pink hue. [https://www.houzz.com/discussions/what-white-for-kitchen-cabinets-dsvw-vd~5004910[(https://www.houzz.com/discussions/what-white-for-kitchen-cabinets-dsvw-vd~5004910)

So it’s time for me to ask what other colors are you putting with the green? What color is the furniture? Bedding? I would consider NOT painting the room green but something else then bring your green in with window treatments , bedding etc. What is your wallspace like? Are you hanging any art? What about getting some areas framed with moulding and only painting the interior area of that moulding the Kelly green? Or buying large canvases and painting them green as a back drop to art work? I may have missed it but have You shared the other elements in the room yet?

I love Boothbay Gray. It definitely looks blue. In one room, I have pink accents. In another, sea green. My trim is Cloud White.