Just start talking to people. Forget job descriptions. Send emails to people you would be interested in working with. Let them know what your skills and goals are. A few years ago I was exactly where you are now. I had a liberal arts degree, a bit of coding experience but skills that weren't sufficient for a junior dev position. I got some interviews just hustling and chatting with anyone I could get a hold of, and eventually I got a dev internship at a startup. I've been coding fulltime ever since.

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.