I would go with charcoal gray or black.

Your brick is a really beautiful blend of colors. I'd let that be the star feature of your house instead of trying to overwhelm it with paint color. Your house is formal, so dress it up with subtle accessory colors. For bright color, depth, & texture, talk to a landscape designer and do something special with the yard. I like this Certainteed Landmark Old Overton shingle with your brick. It's a soft black/gray blend without a blue cast. And I couldn't get it right in this mock up -- waaay to bright & not the right shade -- but I think an off-white would work really well with the bricks. Something soft & antique looking, a white with a hint of putty. The door -- I've used a dark blue here, which is just ok. Perhaps strip the door & stain it a rich wood color? A super high gloss black would look good too. Or a super high gloss in your trim color, perhaps a shade darker, would be sophisticated, especially if you pump up the landscaping. Trimming the shrub by the door would have big visual impact too.

Looking for thoughts on exterior design colors for this home. The yellow/orange stone will remain, but a new roof will be added (currently a burnt orange color) and the siding (currently an olive green in need of TLC) and trim (currently a dark brown) will be painted. Would love guidance and thoughts on color options! The grays/shark blues are what we love, but can't visualize if or how that would go. Thoughts? Recommendations?

Looks like you have it thought out. I would suggest picking your roof color before you pick your paint color. Paint color is much easier to change over the years. Personally, I would pick a very neutral shade such as grey or black (like you suggested). This way you have many other color options for the color of your home as time goes on. You can find a beige/grey to soften the red in your brick. Versus a cooler grey (Wow that looks really blue next to the top one- but when by themselves, they both look more grey) It will be nice to see how your roof impacts the look of your home over the course of the year and throughout the different seasons. I am not sure where you are located but a north facing home, in the northern US, a grey will take on more of those blue tones. Yes, I would make those attic vents blend in. I am not sure that I helped any. Good Luck!