Babylon became a dwelling place for dragons after it had no human inhabitants. Dragons, or dinosaurs as the case may be, don't live in the same places as humans.
Dinosaurs in Babylon
Dinosaurs in Hazor
Hazor became a dwelling for dragons after the people had been driven away. That's why any fossil remains in the area won't have humans and dinosaurs in the same sediments.
Dinosaurs in Jerusalem
We are told repeatedly by Jeremiah that dragons only inhabit places where there are no humans, or from where the humans have already been driven out. Judah only became a den of dragons after it became desolate.
Dinosaurs in Idumea
Depending on which English Bible translation you read, you may or may not see the word dragon occur. Several Hebrew words are translated dragon in the KJV, but are rendered as various other creatures in newer translations.
Dinosaur Classification
Whether or not a Biblical word translated as a kind of serpent refers to something which may have been a dinosaur is context dependent. Sometimes a snake is just a snake. Sometimes a serpent is a Sauropod.
August 18th
We (that's me and the Holy spirit) believe that dinosaurs and humans were on the Earth at the same time. In the creation narrative humans were fully formed Homo sapiens while Tyrannosaurus rex walked the Earth.