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Look at the local papers. They can probably use stringers to cover the boring stuff like zoning boards. I used to do that, years back. Pretty dull, but it got me a by-line and some basic credibility that someone would publish something I wrote. I did it while working full time at an unrelated job, and the pay was crap, but it gave me some clips. I was always surprised that they made an impression on people, because I had no real experience when I was doing it, and it was not a prestigious paper, just a local weekly.
So find your local weeklies, freebies, etc. and see if you can start something there on nights and weekends while you continue to work and look for that big break.
For other types of writing jobs, consulting firms and think tanks need writers. It's not journalism, but it is closer. Just a thought.