Are you leaving the trim white? Is it the greenish undertone you dislike about the current color?

Yes Jayme, really didn't like how it turned green.

@Rockin' Fine Finish - the color you posted is that a gray/ blue? I've really thought about a blue!

It's bluish gray

It is a lovely home, but I wonder if your disappointment is really what appears to be color palette that is close in color or value? The lawn, the plants, the house...all seem to be very close in tone. Did you want more of a contrast? Look through beach decor for color contrasts that appeal to you.

Grey would be my choice

[houzz=]

Really the problem with the door is the security screening. white just shows it off. It is pretty ugly. I would work off of you tile- it is pretty. Can you how the stucco color looks dead next to it. Repainting it in a warmer hue would bake a real difference. Change the white trim to a bit creamier white so it is not so harshly contrasting.
and the door- put some dark fun color on it. A dark color will hide that metallic feeling of the screen. The white forces it to shadow and look industrial.
Think of creating your color palette as if the tile were a beautiful blouse you bought. The stucco as the skirt. The trim as the accessories. You have a pretty good eye for making things look pretty I can see by the plants etc and how you have arranged. Take my analogy and step back and look at the house with beginner mind. I think you will see what I am talking about.