For the record, the old address to send non-settlement applications to was:
UK Visas and Immigration
British Consulate General
845 Third Avenue
New York
10022
which is the same address as the New York Premium Centre for the in-person premium service:
VFS Global Services USA Pty Ltd.
845 Third Avenue,
Floor 6,
New York,
NY 10022
and the new address to send ALL applications to is:
VFS Services USA Inc.
UKVI Scanning Hub
750 Third Avenue
Suite 946
New York
NY 10017
So, they're both on the same road, just in different buildings.