I have exactly the same dilemma. Need white but not very popping out and doesn't go on the cream side as well. I have very light gray siding and we ended up liking Eider White and Extra White. Extra White Is the third one down on the same strip as yours.

Find a paint chip card that has the colors of the lightest, medium and darkest bricks. Use the lightest color for the siding and the darkest for shutters. A new pinkish white will be fine for the trim that is already white. Test your samples on foamcore board cut to the width of the shutters.

Cute house. I like lighter colors in hot sunny climates, since they do a better job of reflecting the suns heat. Dark gray just sound hot, even with the shading that you have. How do you feel about pastels? Given the vintage of your house, it wouldn't have been unlikely for it to have originally been pink, or yellow, or mint green. Are you familiar with the imaging tools offered by paint manufacturers? You can upload a photo of your house and use tools to define areas for painting ("wall", "trim", "door") and then try out different colors. They are pretty easy to use. Here's a link to Benjamin Moore's but most brands have something similar.

Your stone is a beautiful color. I would not paint it. You should consider painting the rest of the house as well as the garage door. The posts on your porch need a bit of beefing up. Can you replace the posts with cedar or have them wrapped in wood? Find a color that you like in the stone face and paint the house that color. Then you have a starting point to look for an accent color to paint the trim and the shutters. Also, changing the light fixtures would give this house a needed update. Something with straighter lines would work better with your architecture.