I am more involved in the life of the school. When an administrator does not teach any classes, as is my situation, it is easy to lose contact. Part of a newsletter's success comes from its name. That way people will more readily remember it. One drawback of linking the name to the school mascot is that the audience might mistakenly associate the news articles in the newsletter as all being about athletics.
Some schools hold a contest to determine the name of the newsletter.
It is usually open to students in high school who are challenged to come up with a name. That may work, but the risk is that none of the names submitted may be acceptable, and the school is obliged to choose one anyway. How often a newsletter should be published is a question often asked by schools about to take the plunge. Some come out with a quarterly newsletter, while others prefer a smaller monthly version. Either is acceptable.