May and June feature a number of annual and semi-annual Greek festivals in DC, MD, and VA.  Here's a sample:

St. Sophia Greek Festival 2017 • Friday, May 19, 2017 - Sunday, May 21, 2017 • Washington, DC

Annapolis Greek Festival 2017 • Thursday, June 1, 2017 - Sunday, June 4, 2017 • Ss. Constantine & Helen, Annapolis, MD

St. Katherine Greek Festival 2017 • Friday, June 2, 2017 - Sunday, June 4, 2017 • Falls Church, VA

St. Nicholas Greek Folk Festival 2017 • Thursday, June 8, 2017 - Sunday, June 11, 2017 • Greektown Square, Baltimore, MD

St. Theodore Spring 2017 Greek Festival • Thursday, June 15, 2017 - Sunday, June 18, 2017 • Lanham, MD