From your description, it sounds like a Bianchi Campione. It is possible that it was shabbily repainted and re-decaled by a previous owner. THis would be a problem to a collector, but that bike was not meant to be balanced on a plinth in a museum, it was meant to be ridden.

Even if it were a lesser bike painted as a Bianchi, is very unlikely that a non-profit 'bike salvaging org' had anything to do with that. Such organizations are usually bike-rich and manpower-poor - nobody would divert precious resources from whatever the primary mission of the organization is to fake a mid-level mass-manufactured bike.