I think I managed to date one event described in the Torah that can shed some light at the real age of the Torah (and humanity) for this matter. Let's take a look at Genesis 10:25
YLT Gn 10:25 And to Eber have two sons been born; the name of the one is Peleg (for in his days hath the earth been divided,) and his brother's name is Joktan.
What I think this verse is describing is the event that happened roughly 175 millions years ago, namely the split of the supercontinent Pangea. Here is a short description from Wikipedia:
Pangaea or Pangea (/pænˈdʒiːə/) was a supercontinent that existed during the late Paleozoic and early Mesozoic eras. It assembled from earlier continental units approximately 300 million years ago, and it began to break apart about 175 million years ago. In contrast to the present Earth and its distribution of continental mass, much of Pangaea was in the southern hemisphere and surrounded by a super ocean, Panthalassa. Pangaea was the last supercontinent to have existed and the first to be reconstructed by geologists.
As you can see, the LAST supercontinent split was 175 millions years ago, which means that Torah and humanity is AT LEAST this old. Latest research indicates that continent splits go as far as 2.5 to 1.6 BILLION YEARS back, which means that we may be much older than that.
However, since Torah records only 1 such event, we have no other choice but to admit that we and Torah is about ~175 millions years old. Maybe a little bit older (say 300 millions years old, starting from when Pangea assembled.)
Such theory is much more consistent with scientific evidence of humanity age and with the well known age of the earth. So traditional 6000 year timeline is absolutely baseless and incorrect.