So I think I was just offered a job, or, more accurately, I was contacted because a position opened up and they like me for it. I had a little trouble getting a read, because the person who contacted me is a guy I work with at another org, and he framed it in the context of "wanted to see if you know anyone who might be interested." However, once we got to discussing it, he mentioned a few times that I could apply if I want to (he even said "you" a couple times when talking about what the person would do in the job).
I'm still researching what exactly the org does, but, from the information I have, it looks like it could be a huge upgrade for me. Huge.