If the angle of attack according to your theory is not high you won't stall therefore you can't spin in.
It has been known for instructors on there tod to be doing 60deg banked S turns at approach speed. Wouldn't do it myself as I prefer to do a side slip if to much height. I would only use S turns to lengthen the approach if we required an extra few seconds to get a clear runway.
If your that far off profile you need to resort to S turn's or side slip go around and get it right the next time.