ICAN (on the national level) has been tracking hospitals across the country that have VBAC bans in place (whether it's a formal policy or it's a defacto ban if all doctors refuse to attend them),
The following hospitals in NJ have VBAC bans in place:
HACKETTSTOWN REGIONAL MEDICAL CENTER, Hackettstown
WARREN HOSPITAL, Philipsburg
SOUTHERN OCEAN COUNTY HOSPITAL, Mananhawkin
MEMORIAL HOSPITAL OF SALEM COUNTY, Salem
SOUTH JERSEY HOSPITAL - ELMER,
