Once due to life circumstances I was stuck for a few years in a job I hated for much of the same reasons (limited growth, very bored, yet simultaneously very stressed due to ridiculous deadlines). One thing that helped me get by was to have my employer pay for me to learn new things. I really wanted to learn a particular programming language, so gradually over time I built up a compelling case that learning this language would help the business. And it did help the business, especially after my employer paid for me to become an expert. After my life circumstances changed and I was able to move on I had a great new skill on my resume that propelled me to much better opportunities.
So my point is you should try to turn your current predicament into a launchpad for bigger and better things.