We are putting in a range hood in the kitchen. The X in the photo shows its approximate location. We want to have a horizontal duct as shown. However, the vertical studs are all 3.5" wide. We can't make the wall thicker since in this case we won't have enough space for the cabinets. Is there any way of feeding some sort of hood duct horizontally as shown without extending the wall? If not, we will consider either a vertical duct or no duct at all, but that would be Plan B. Thanks!