I think they should build a floating Ark. Let's see proof of concept, here. After all, at the close of WW 2, when skeptics said Howard Hughes's Spruce Goose would never fly, he flew it, just to demonstrate that it could. I think the Answers in Genesis people should be asked to do no less.
Launch it on the Ohio River, fully ballasted with food and animals. Float it down to Louisville, then tow it back. If you think that's too much, then they can use animal statues, but size and weight matter, here. Let's see it done. Then, we'll talk about the rest of your evidence.