There are scores and scores of archeological and astronomical evidence that support the date of 587, and yet the Watchtower society turns a blind eye to it.
For me i like the smaller peripheral points of evidence that nobody looks at. For example, in Jeremiah 44 ( which is placed at the time of the destruction of Jerusalem) the writer mentions the ruling pharaoh at that time. In this case Pharaoh Hophra
Now Pharaoh Hophra ruled from (589 BC – 570 BC) which fits nicely with the idea that the destruction of Jerusalem was in 587 BC. In 607 BC he was simply an infant.
If you study Egyptian history you will learn that during the siege of Jerusalem just prior to it's destruction, Pharaoh Hophra sent an armed to Jerusalem to protect it from the babylonian forces. The Egyptian army was crushed and Jerusalem was destroyed.