I like different tools for different things, and I'm just as likely to write a bash (or python or perl) script if it's something quick, and javascript is growing on me as I do more front end work, but C is one of my favorite programming languages.
I work free lance at the moment, and there is never really a great opportunity to work with C, except on my own personal projects, or occasionally contributing to open source. I've been reviewing it for technical interviews, and enjoying the clarity of it. Yes it's imperfect, but then so is javascript, and people built lots of stuff with javascript.
Anyway it made me wonder, what companies in the Bay Area hire people to write in C? A quick search through the who's hiring thread for this month shows... one.
There are 140 comments for companies in the sfbay area. 40 mention python. 28 mention ruby. 71 mention javascript.
That's fine. I am a software engineer, not just a C programmer. But I am curious if I'm missing any good ones in my job search where I could have a place. There do seem to be occasional jobs for C programmers, but they seem to be for people who have 15+ years experience developing kernel modules, or a masters in EE. I'm not sure how I can bootstrap that radically.
You will, of course, greatly expand the possibilities if you include C++ or Objective C in your search. I know plenty don't like C++, but many places treat it as C with the modularity that C++ classes sort of provide, plus the standard library, so it is pretty nice to work with.
These languages sometimes receive dismissive comments on HN, but the work is often fantastic. I'm at a C++ shop, and my days are filled with linear algebra, nonlinear optimization, computer vision, AI, HW interfacing, and so on. But then there is the bootstrapping problem that you mentioned.
Look to companies that aren't based on the web. Applications - databases, security/virus scanners; hardware - tablets, augmented/virtual reality, drones, automation&control automotive (entertainment systems, self driving cars, control systems). You may be able to get into this stuff by being strong in something else "I'm strong in Javascript, but also know C", get hired to do mobile work, and then stretch out and start learning the stuff you need to interface with hardware. Don't take job reqs too seriously. Places often have a laundry list of requirements, but it is hard to find help, and if you have something that they want you can usually explain that their requirement of, I dunno, Unity or Qt is pretty silly, as you can pick that up in a week or two.