I haven't read all the posts but here's my two cents.
Yes, Noah was known for building the arc and your sketch does show a man with a hammer and a piece of wood.
But, his connection with animals, I believe, is a much stronger association and would lead to a more recognizable image.
And don't forget the dove at the end of the story - another possible recognizable image.
Just a thought.
"Important artists are innovators whose work changes the practices of their successors; important works of art are those that embody these innovations."
Galenson, David W. Old Masters and young geniuses
, Princeton University Press, 2006