In normal, you should be able to retrieve a full log even without rooting a device. Your assumption is correct, we do however still not get the cause of the crash. Could you please give the following a try.
1. Connect the device for which your game crashes
2. Open a new shell session with the following command (entered in terminal):
(If adb is not in your path environment you can find it in Android’s SDK installation dir under Android-SDK/platform-tools/)
3. Perform the following command in the shell session and post us the output:
ls -l /data/data/com.xxmassdeveloper.SnowballMania/lib/