...what evidence in our genome or that of other creatures or on earth would we expect to see?
My first answer does not address your question as it relates to the canopy theory but is rather in line with the question: What if the creation myth was true and evolution was not a real process:
Biological design flaws would not be present e.g. Vas deferens routing
Vestigial pseudo genes for things like tails would not be present in humans.
Probably no animals would posses the combination of canine teeth and claws.
Some things one would expect to find with a factual canopy theory (I could not think of anything specifically related to genetics):
1. A fossil jumble in the Geological layers. Human with T-Rex skeletons and so on. And these jumbled layers would also be found on a grand and global scale.
2. Polar Dinosaurs frozen in relative proximity to mammals like Mammoths in Siberia, with their frozen Dinosaur flesh still attached to the skeletons, in the same way that some Mammoths were found in Siberia.
3. Kangaroo's and Kuala's in the Middle East and not just in Australia.
4. No oil or coal. Instead mega layers of biological decay.
