Not sure if you still need an answer for this, but the GoPro camera is the ultimate sports camera. We shot over 100 baseball and softball games this year with a Hero3 Black and haven't found anything better. Also will work well for cage sessions. With enough lighting, you can shoot usable footage of up to 240 frames per second.
If you go that route, Google "LynkSpyder" if you are interested in mounting the camera to a chain link fence for recording games.