Hi Kay,

I understand why you would want to connect the color palette to the other structures, but when I look at your house I wonder if the door color should be looked at as it relates to the house first and foremost, because the eye sees the whole house as a unit. The other buildings are visually removed.

Based on that idea, I would try to use a tone (that is, amount of lightness or darkness) and color/hue that complements both the house colors and the gorgeous foundation stone. It doesn't have to match, obviously, but if it is dark enough to be in the same tonal range as the foundation, it will "ground" the door to the ground level, and bring your eye down. A door that is too light, or too bright, will "float" visually. (Of course, you might want that look.)

Also, your roof appears to be dark, so that is seen by the eye as well and a darker color door can add balance and visual harmony when the whole house is viewed.

Lastly, houses with your kind of interesting architectural detail often have a third trim color, just touches of it, inside the window trim for example, This third color may or may not match the door, but enhances the visual balance and rhythm if done well.

In addition, your plantings and outside accessories (e.g., on your porch) can make a difference, depending on their color scheme. A colorful chair or flower pots can balance out the use of the door color, whatever it is.

My final suggestion is to look at doors on similar houses in your neighborhood, or online. Some of the door/window/siding manufacturers have cool online tools that let you upload a photo of your house and then mask and color the various sections to see how different colors can look.

Finally, after you have settled on a couple colors, why not buy a quart of each, cut out a cardboard pattern similar to your door, and paint each one. Place it in front of the door and look at it at various times of day, and get your neighbors' feedback. Take your time and look at each one for a while. Change in light and shadows throughout the day can change how the color looks.

Sounds like a lot of work, but I think when you are done you will feel very confident. Besides, you can change the door color in a few years if you want a different look.
Good luck!