Extended Stay Hotel in Stafford, VA Near Marine Corps Base Quantico, FBI & DEA Training Academy. Conveniently off I 95 at exit 143 A, the Staybridge Suites Hotel Stafford Quantico is ideal for those on government per diem, project teams, training, relocation, and temporary housing seeking to stay near Quantico, VA and between Washington, DC & Richmond.nnConvenient to many government offices including the FBI and DEA Training Academy, Marine Corps Base Quantico, Mitre, UMUC Quantico, US Army Criminal Investigation Command, Camp Barrett, General Dynamics, and Mantech. Explore history at the National Museum of the Marine Corps, Stafford Civil War Park...