I was in the same boat a few years ago at about the same age. I doubled down, wrote a lot of code, got a junior level dev job. I read books at night (I recommend SICP & Coders at Work above all else). I watched a ton of screencasts. I also recommend the Peepcode (now owned by Pluralsight) play-by-plays because they show you how experienced devs think and work. Doing this I've been able to write code with & consult for CS & engineering grads and not look remotely out of place.

Putting in the time really matters, don't think of being technical as a skill someone is born with. It's really about an intimate knowledge of the technology and no one is born with an intimate knowledge of technology. You also need good judgement and hopefully your social science education taught you that. Don't underestimate the value of what you are already good at. Keep at it.