Low is fine if you're bending mostly at the knee and ankle and not at the waist. Bending at knee is an unweighting action that allows you to change edges quickly.
As you come into your Toe side your belly button should be extended and driving forward into the snow together with knees, pressuring and weighting the edge. Basics of dynamic turning.
If you're putting your hand down at your level, you're probably bending at waist. This kind of bending puts your weight outside of your board causing instability. Thus your need to put your hand down.