Sorry, I clicked off before mentioning that the NYC Police Museum in lower Manhattan is one of my favorite places.It is close to Southstreet Seaport and Ground Zero at 100 Old Slip. It is a neat building on its own.
http://www.nycpolicemuseum.org/
See Al Capone's machine gun, lots of neat stuff about Notorious Criminals, a jail cell, NYC police through history.

I can't speak about the Radisson but I have stayed at the Salisbury a number of times. I have always been happy with my visits there.

Great info Mclaurie. Thanks. I think I can now cross the Radisson off my list of possibilities.