Getting a summer (law) internship as an undergrad.

I'm looking to get a law related, unpaid internship for maybe 6 weeks through July/mid August. Seeing how late it is in the game, I really wouldn't turn down anything. Even shadowing a one man law firm would be amazing. Any experience that sheds light on a possible career path for me will be great; I have no other plans this summer. Currently I'm an incoming junior in between transferring schools and don't have access to the school network. Here's what I have going for me: -Attended a school with regional clout. -Attending a school with national clout next year. LOL...... However... -It's already the end of fucking May. -I have literally zero work experience or extracurricular interest (I doubt my coffee shop or kegstand experiences count for much). -Don't have any connections. How do I go about this? Just cold call local law firms and ask if they need summer interns? Email them? Show up and give them a resume? Halp!