I'd go with a dark rusty red that complements the stone. Paint the entire assembly, including the side lights. If it were me, I'd paint the garage doors the same color, too.

Benjamin Moore's Warm Sienna might be nice:

Some option to go with bright door

I would paint sidelights as well. So door does not look skimpy with long house.

Or you go with colors from your stones

@Marcella Patroni, I'd love to see Sherwin Williams Blackberry or Raisin in a high gloss on your door. Hopefully you can get samples to try?

I'd go for a very high gloss SW tricorn, SW dark clove, or a very deep plum. I think the current coral color is too washed out and does not add enough umph. Your door sort of gets lost.