Not a fan of the tall doors as they always look skinny. A transom/glass highlight above looks great in old houses though. 2700 is a nice ceiling height but not super tall. The std doors will be better in my opinion. The only time the higher doors look good is if they're a wide glazed sliding door unit but they should then be teamed with windows at the same head height! I've never been a fan of the starkness of std ceiling white. Ceiling colour and walls being same shade make cutting in easier to if you're not a professional painter.

If you take a sample chip of Polytec Essential White into Home Depot, they can put it under their scanners and do a colour match.

consider very dark walls like navy, dark grey, rich caramel or deep rust colours with eaves and fascias white, downpipes same as walls and gutters a mid range colour to match the dark walls (btw some new paints are supposed to have heat reflecting qualities even in the darker colours)

I’d suggest using pieces of plaster, painted in your chosen colours, to see what the colours look like in different rooms and at different times of the day. We were always going for Natural White which ended up having a pink tinge in certain light in our home. Our large back area is east facing (8m of glass stacking doors) with two south facing windows and two large skylights for northern light. Our colour consultant suggested Dulux Snowy Mountains Qtr strength and it is great for our home. Not stark (no blue/grey tinge) but definitely not too warm. We went all the same colour - walls, trims, ceilings - just in different finishes. Modern home with squareset ceilings. White is so hard. Good luck with your choice!