There's plenty of posts on here discussing the S&S lens including this one:
View archived post in: Which Nauticam 9" dome with Sony 16-35gm?
in particular Phil Rudin posts that he has used the S&S lenses with many port combinations and it assists to a greater or lesser extent varying with port size. The gold standard for a 15-16mm lens on full frame is 230mm dome stopped down to f11-16 and this is improved further with the S&S lens. Your 8.5"dome is going to very close to the 230mm dome in performance as it it will have similar radius of curvature.
The bluewater photo link is good as it has test images to compare taken with the 240mm dome from S&S. As the domes get smaller the radius of curvature changes - unfortunately the manufacturers seem to want to keep radius of curvature of their domes a state secret, but many of these domes have similar curvature of around 110-120mm radius, if the radius of curvature is reduced then the S&S lens will be less effective. In the link phxazcraig posts about the S&S lens and says he now shoots at f5.6 with a 16mm lens and 230mm dome.
I would note that I don't believe the bluewater post is entirely correct regarding how the S&S lens works. The problem with dome ports is the virtual image is curved so the corners of that curved image are physically closer to your lens. Because it is so close the corners are out of focus, they fall outside the depth of field.
This is because the plane of sharpest focus at the sensor is curved . The lens acts to change the shape of zone of sharpest focus so that it is flatter and within the range that the depth of field is sufficient to bring the corners into focus. Technically it is a field flattener and brings the corners into focus at the setting as needed for the centre of frame.
For your situation the 15-35mm has an 82mm filter thread so can accept the S&S lens directly. What will also help corners is to zoom in slightly.
Regarding your buoyant dome if you are handy you could make something similar to this and use a dive weight to help balance the dome:
https://www.ikelite.com/products/trim-weight-system-for-dslr-mirrorless-housings