I don't know where you are, but in chicago at least, alot of theatres post internship opportunities on the league of chicago theatres site. While many are restricted to college students, not all of them are so its worth taking a look. If you don't happen to be in the chicago area, look to see if your area has a similar site set up, or even just call your local theatres and ask about interning.
Ask your director/ TD if they can recommend any programs too. They may even have some connections that will help you get in.