I agree that it is impossible according to the natural man's understanding and knowledge.
Fine, then we have no argument with each other. You are entitled to believe whatever you want as long as it doesn't impinge on anyone else.
Please go tell that to the creation "scientists" and the IDists then who are trying to claim that they are actually doing science and want to bugger about with science classes.
If God can speak this universe into existence and then create all the animals in it, why would He have a problem with repopulating the earth after a flood?
Agreed. Given you assumptions then anything is possible. This is your religion and I agree that you are entitled to it. However, Goddidit is not an explanation for anything and has nothing at all to do with a rational understanding of the physical universe we live in.
So there is no science at all in your view of reality.
However, worse than that (from a believers perspective) there is very bad theology in your claim. You are claiming that God not only used a variety of miracles to make the flood possible as described in the Bible but that he arranged these miracles in a careful fashion to make it appear as if the flood did not happen and could not happen as described.
He then, crafty fellow that he is, also left out the details of this slight-of-hand (some would even call it deception) from the Book.