Early Migration Alert Program Act or the EMAP Act This bill establishes within the Department of Homeland Security a program to (1) lead the dissemination of information pertaining to the release of non-U.S. nationals ( alien under federal law) from custody, and (2) formalize partnerships with regional stakeholders relating to such information. The bill also requires U.S. Immigration and Customs Enforcement and U.S. Customs and Border Protection to provide certain information to the relevant state and local governments at least 24 hours before releasing a non-U.S. national from custody.