. . . the physical evidence does not back you up.Sure it does. The physical evidence is spread throughout the earth's surface, and it is a stark recrod of death, possibly sudden death in many cases. It also reflects conditions, albeit on a wider scale, where we have observed catastrophic events in our own day.
No it doesn't. How are raindrop spatters and footprints fossilized under your scenario? How do desert and wet climes alternate in the fossil record? How do delicate organic features survive to be fossilized in the violence of the sudden deluge? How do the fossils just happen to sort themselves out in the way we see in the fossil record?
In the end, the deluge cannot explain these things, no matter how much you wish it to.