Camera features useful when recording a live high school basketball game?
You may want to look at an action camera like the GoPro.  They are extremely limited in terms of versatility, but they are small, cheap (relatively speaking) and capture a wide field of view.  They wouldn't be suitable for broadcast use or making videos for fans, but they would be terrific at unattended capturing all the action from multiple angles to be able to review after the game to see what happened.