Flying down the Hudson River

I'll be flying out of White Plains, NY (HPN) to Allentown, PA (ABE) in early
June and would like to fly down the Hudson River to the Statue of Liberty
then west. It looks like the Class B and TEB's Class D would allow this at
1000' MSL without any clearance or approval, am I right in this assumption?
Anyone done in recently, especially after 9/11? The tops of those bridges
look mighty tall, like less than 500' clearance flying below the floor of
the Class B. Is this a busy and heavily traveled corridor? It'll be a
Saturday.
Thanks, Chris