Interesting question. When I went to Journalism school, only journalism students write for the college newspaper. Other types of writers, whether newcomers, or those going for an MFA, wrote for the college magazines.
But journalism comes in many flavors, and isn't all inverted pyramid style. Straight articles do usually have to be inverted pyramid, but human interest, humor, and fillers often do not. The newspaper is probably just looking for good writing. So send them some.
For that matter, inverted pyramid style isn't very difficult to learn. This was something we had to master in journalism 101, and we had to learn it fast. It really just means beginning an article with the most important fact, then the next most important fact, and so on until you reach the end. This allows a copy editor to cut the article to fit an available space by cutting paragraphs from the end. If you start at the end, and cut backwards, you're still left with an article that makes sense, that gets in the most important information, no matter how many paragraphs he cuts.
I would say this. Go and see the editor. Talk to the editor in person, and you may be surprised at his response. If nothing else, you'll get to know him, he can tell you exactly what type of writing clips he wants, and you'll be in the back of his mind when he needs something written.
I've found this works with real world newspapers, as well. Face to face is always better than e-mail or phone.