Maybe a darker warmer gray pulled from the stone?

It looks like your stone is brown tones, and your roof is brown. Pick a color from your stone to paint your house. I am not fond of beige, but, it may just be a perfect color for your house. I dont like the gray that it is now, with the stone and the roof. Paint the garage door the same color as you paint the house.

I'd go with a warm cream to go with your stone and roof. Your current cool blueish white fights with the stone and roof. Frankly, I think it is modern with rustic elements. I'd paint the door something in the peach-pumpkin range.

I'd go pretty dark gray (everywhere - except stone- including trim!) with a door that has a pop of color (warm rusty orange tone - not too bright). With a refresh on landscaping and strategic outdoor/landscape lighting it will look like a different house.

Charcoal would work good.