It is sound science.

That’s the beauty of science - you can’t dismiss it just because its results don’t align with your beliefs. And again, the scientific method is significantly better than “it’s true because this book says it’s true”.
Furthermore, in addition to radiometric dating there are other methods that enable us to approximate the age of our solar system and the universe. Are you going to dismiss those as well cause they don’t align with your opinions?
That’s…the same thing. Simple arithmetic allows you to add up the “generations of man”. Again, if you were familiar with the Bible you’d know that the names and years lived are written in explicit detail.