That's a wonderful track! You are right to want to take advantage of it.
A beginner class is almost always required. It covers track etiquette and safety and is required for obvious reasons. Unfortunately, mishaps rarely involve just one person. Bone-headed moves happen all the time, many of which can be prevented by following the basic rules set forth in the classes. If you don't do so or are considered to be hazardous, then others won't want to ride or race along-side you. Even if you can't find a class, maybe get an experienced person to give you a private lesson. Of course, the track director will have to approve. It's his/her job to keep the track safe for everyone.
One doesn't necessarily need to train 100% on the track to have success on the track, but you will have to make time to get very familiar with it before racing. Especially in the beginning.