Should the story of Noah’s ark have been accurate?

obviously all of earth’s animals, apart from those which swim etc., must have propagated from a single point post-flood. They then would have had to make the massive pilgrimage to their current habitats all across the world. So how is it that not a single animal has been found out of its respective climate? An animal can traverse the world to become isolated to a particular region, but leave no evidence of such a journey?