Hitting the stops is a bad thing and a sure sign you are over controlling. It shouldn't and needn't be common in a x-wind approach. The best thing to do when you are hitting the stops is release the stick for a second then return to flying it with a normal control level. It makes no difference to the flight path as when you are bouncing from one stop to the other all you are doing is exercising the stick, the aircraft can't react that fast!