Wouldn't what you said make the flood stories inconsistent with (not compatible with) the facts pertaining to evolution, including the ones you mentioned (including the subsequent rapid pace of evolution which would be required if a global flood really happened at the supposed timing of the event)? I do not see us as being in being in disagreement with that, pertaining to a global flood.
But wouldn't such problems stated by you (and also believed by me) only pertain to a global flood, and not to a local flood caused by a rise of the sea level of the Black Sea prior to 4500 BCE? Some Christians (including some who are convinced of macroevolution) teach that the flood was only local, not global, and thus the only animals brought into the Ark were local animals. There is strong evidence that a local flood caused by a rise of the Black Sea was the basis for the flood story which from which the flood stories of Genesis derived from. See https://en.wikipedia.org/wiki/Black_Sea_deluge_hypothesis . The flood stories of Genesis, which culturally evolved from some earlier flood stories, very possibly have some elements of fact within them. Some scientists published content saying there is scientific evidence for such a local flood which 'inspired' the stories in Genesis.
See the following articles (pertaining to a local flood, not a global flood):
- https://www.washingtonpost.com/archive/politics/2000/09/13/artifacts-found-in-the-black-sea-may-be-evidence-of-biblical-flood/814a339e-5e62-4ddd-b4c3-c14d9a015360/
- https://www.theguardian.com/science/2000/sep/14/internationalnews.archaeology [The content of this article is related to that of the above article. The two article were published on the same day. This article mentions that the marine scientist named Robert Ballard who says he found evidence of a local flood caused by the Black Sea is also "the scientist who discovered the wrecked Titanic". In the article he says he not making the claim "that this is the biblical flood", saying he doesn't know whether or not it is. But this article was published in 2000. In a later article he says it is evidence that Noah's flood happened; see the ABC News article below.]
- https://abcnews.go.com/Technology/evidence-suggests-biblical-great-flood-noahs-time-happened/story?id=17884533 [This article is from December 05, 2012. The first paragraph of that article says the following. "The story of Noah's Ark and the Great Flood is one of the most famous from the Bible, and now an acclaimed underwater archaeologist thinks he has found proof that the biblical flood was actually based on real events."