a real 1-axis gyroscope that can tell u the current absolute error would be nice...
that gyro chip seems to be more like an accelerometer...
but it seems like they r too bulky...
if i understood the datasheet correctly, those chips just tell the rate of change...
they cannot distinguish between lying on the side and being upright...
the speed of that I2C interface should be ok for ur application (if the surfaces r not 2 slippery... like wet ice...)...