One of my friends from high school just posted a link to the application process for Hartford Stage Company apprenticeships for the 2013-14 season. There is no stage management apprenticeship but there are many other positions in backstage and arts administration areas.
Apprentices get a stipend, parking and housing. Deadline for apprenticeship applications is March 1. Interns can get college credit, and internship applications are accepted year round.
Info
here.