I'm at a point somewhere between not knowing how to code and not being skilled/experienced enough for a jr developer position, and would work for next to nothing, but every internship I see requires that you be in pursuit of a BS in CS.
Above all else don't let yourself get discouraged. There will probably be a dozen no's and/or people who just don't respond to your query but the person that gives you that first opportunity is probably the kind of person you want to be working with anyway.
Plenty of startups will take you on as an intern with little to no experience. If you put your reputation on the line and give them a few months of your time to figure it out and build something they need, they might hire you full time as a junior engineer. Shoot me an email if you'd like to talk more about this zack@zackshapiro dot com