https://www.hgtv.com/design/rooms/kitchens/how-to-construct-a-custom-kitchen-range-hood

Is this sort of what you are talking about?

We need to see your kitchen but there is no way any shelf under a hood is a good idea. The inspo you posted is a very expensive way to get good venting so we need a lot more info.POst the pics and info here in comments DO NOT start another post.

" I dont have any open shelves in the kitchen due to having to hide a pipe that runs along the top of our ceiling for plumbing. "

Does this mean your kitchen has a soffit? Could you post a picture

The arch is a Tudor arch. You often see that style arch in doorways, book cases, and in fireplaces on Tudor Revival homes in the US.

I read it as the shelf goes in the outside of the hood, like where the little gallery rail is in the photo, right?

This sort of treatment is going to be challenging with 8ft ceilings. Get some graph paper and start doing some scaled sketches of the wall. It really helps figure this stuff out.

I feel like if there is plumbing below the ceiling, the height for the cabinets and/or hood isn't even 8 feet.

I agree with Fori about the 8’ ceiling and the hood design the OP wants. The proportion doesn't really work. What is the width of the hood? It needs to be 6” wider than the cooktop, but even then I think that the OP’s desired hood design is meant for a taller ceiling.

@jen south - what you are talking about is a ”mantle hood” if you want to search for images, use that search term. Here are some photos:

When the op comes back with pics and a floor pla posted here in comments then maybe we can help.

Hi all, thanks for your feedback. The range is 40 inches hood is set for 48 inches with cabinets on either side...

Also just found images of a similar style in what looks like an 8-foot ceiling space. Lots going on here.. But it makes me think we could do a more simple version without the columns next to it... Is it an illusion that the hood looks recessed behind the cabinets line?

Here is another angle same kitchen

“Is it an illusion that the hood looks recessed behind the cabinets line?”

I don’t know. Regardless, the hood needs to be deep enough front to back to exhaust your range. Your range is minimum 24” front to back, likely more. Your hood should be 24” front-to-back. Sone people skate by with 22" deep, but no less. Lots of pretty pictures on the internet of non-functional kitchen designs. But if you make your hood too shallow, you will curse those photos every time you cook on your front burners and the smoke and grease go on the front of the hood rather than up its exhaust.

with a 40 inch range what is the smallest vent we can go with?

If you are talking about width when you say "smallest vent", then 46" wide. But that is an odd size and will be entirely custom. More standard widths are 42", then 48". You can get away with a 42" width, but then you MUST make sure your hood is deep enough front-to-back like I said above - 24" deep.

If by "smallest vent" you are talking about the venting duct that goes from the hood to the outside of the house, then it must be either 8" diameter or 10" diameter, not smaller. People don't think about the ductwork until it's too late, so it's good you are asking early.

The mantle hood design you want needs to look proportional. I would not equate "small" with a mantle hood design, as can be seen by the various photos of mantle hoods. Given your ceiling height of 8', you will really need to work on the proportions to make sure it does not look a top-heavy block that makes your kitchen ceiling appear even lower.

There's the exhaust fan insert and then the custom hood that covers it. They don't have to match in size.

Here are images of the layout plus a cardboard mock up that my cabinet maker put together... so you can see where we are at and hopefully offer suggestions based in inspo images i shared... husband is holding it up in a spot other than where it will actually be because there is a wall that still needs to come down where the range will go