I recently installed an exhaust fan for our cooktop. Up and out the side.
When you are getting up in the 1400 CFM, you are looking at 8” exhaust ducting or larger. Straight, smooth sided ducting provides the best flow.

I say a blower installed in the attic, ducted to the outside with an intake in your ceiling. Less noise that way too as it is remote. Some systems have the blower at the distal exhaust end.

I know it is not exact, but same concept. My cooking exhaust.

You could dress it up and build a box cover to match the house if needed, or even just painting to match will help.



The ducting to outside. I still need to enclose it. Run something like this in the attic.



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