Yeah it’s too bad there aren’t any natural clocks that defend the Bible against this notion of millions and billions of years...
Oh! What’s that you say?
101 Evidences for a Young Age of the Earth...And the Universe
http://creation.com/age-of-the-earth
There are some interesting arguments here for why the earth may not be 4+ billion years old, nor the universe 14.
But remember, to make the Genesis chronology work literally, it's not enough to prove a younger earth than that. It's necessary to prove a really, really, really, really, really, really, really young earth. An earth in which (for example) the Great Pyramid was built when the entire universe was scarcely five thousand years old.
And this does create some problems, because if a single unimpeachable measurement can show that the universe is (say) more than 100,000 years old, biblical inerrantists have to posit that physical processes don't work now as they have in the past.
Take for example astronomical parallax and the observed speed of light. If the universe is only 10,000 years old, then either (1) the universe was created with galactic expansion already 99+% of the way from the big bang to what we see now, or (2) the speed of light was several orders of magnitude faster in previous millennia than it is presently.
Item #92 in your link above directly addresses this, but with the conclusion that the universe may "only" be 100 million years old. This is equally as fatal to the Genesis chronology as is 14 billion, a point that the authors chose for some reason not to address.
Both (1) and (2) above give the impression that God is playing a cosmic con game with our minds and senses, which to me is a far more frightening concept than that of no God at all.