Here is what I am looking for

I would say that was a custom made vent hood for sure.

A boxy pro style hood with a cabinet above can do an immediate S turn inside that cabinet, to achieve the same result. It will also be thousands cheaper.

redirect the duct inside a cabinet.

Or one could use an external blower, buy a simple blower-less hood, 'move' the cutout for the duct to the left, and cover the original duct interface cutout.

do you mean like a ductless hood? if so, those don't work as well. we have one (because that's the best we could do) and it's just ok. I'd rather sacrifice a small amount of cabinet space to have a real ducted hood.

Kas was not suggesting a ductless (a/k/a "recirculating") hood. He was suggesting a custom build as jewelsfabulous also suggested. That would be buying a barebones hood, relocating the duct connection from the middle to one end, and using an external/inline blower-fan. It is a high-end thing. Instead of putting the fan inside the hood (which is how its done with most off-the-shelf hoods), the fan blower is either placed in-line in the ducting on the way to the outside or it is placed at the very end of the ducting where it emerges to the outside. Kas was suggesting the OP look into a custom build solution because it is doubtful that the OP can find an off-the shelf product designed the way the OP wants his hood designed.

How about using this Zephyr AK7836BS or AK7842BS installed with a matching duct cover? Inside the duct cover you'd use short pieces of duct and elbows (page 5) to route the exhaust to the left, up and out. (You would not see the duct as shown in your original picture.)

This designer custom made one for her kitchen 11 years ago using Modern-Aire Ventilating.

https://modernaire.com/photo-gallery/

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