Hang the hood fan from the ceiling and just make sure the chiminey part is finished on all four sides and you might have to have the back on the hood finished on the back. The hood fan in this pic was actually one that was suppsed to wall mounted bit looked pretty good on the back and we just hung it with bollts into the ceiling. It was vented out the side so that is why we had a different chimney.

My go to hood is Vent-a-Hood for all of my high end kitchens. They are quiet, highly efficient, and different technology than any that you suggested above as far as the filtering.

@corner Stone designs. sorry if I had given an impression it mud slinging. but objectively speaking the suggestion to go for a chimney just because someone asked for it instead of addressing the real issue us not what I intended to do. one has to understand all the negatives as well veggie going in for a decision . just like you have the right to suggest there is nothing wrong in pointing out the issues in the proposed solution. none of us are internet warriors but most of us are "sold" items that we will never need in our life by creating an illusion. I know that dinner call it business but I am not in such one and I have the luxury to call a spade a spade. Even now the person who asked for is not sure in what they want but they think that a chimney will solve the issue. engineering doesn't work that way. unless we know what the real issue us, which isn't clear if it is the smoke or the smell and the your of food cooked, the frequency, the 80/20 utility of the kitchen we are not even close to understanding the problem. my intent is to emphasize the importance of understanding the problem and then look for issue and not provide a ready made solution. we can all suggest something by seeing a picture that fire will come and catch the chef if it is located in the window but do you think that what you say is practical. you may construct this as much slinging be as a novice I have a genuine question. how many houses have such a fire accident. we don't even know if the stove is electric or gas. if it is electric then they just no question of fire. so I encourage you to objectively approach and not see this as a mud slinging thing as that's not the point.

Its always best to go for a ducted chimney as foul air is removed out of the kitchen. A ductless chimney has charcoal filters which need to be replaced periodically and it just recirculates the air. But if u have no choice to go for a ducted option, then u can go for ductless model. We have used Elica models, not in mumbai though . Didnt have any problem as such. Also check the service availability in your locality. Faber is also a good option. Also a baffle filter is much easier to clean than a mesh filter in case of ducted chimneys.