Try this.
Temporarily change the number of turns to a whole number. Skip this step if it already is a whole number. Draw a non-associative line between the endpoints.
Then change the number of turns to whole number plus/minus 1/2. For example 5 turns for the first step, 4 1/2 for this step. Then draw a line from the end of the helix that changes position that is perpendicular and point-on-curve to the first line drawn.
Add a datum axis using point and direction, select the mid point of the second line for the point and the axis of the first line as the direction.
Change your helix number of turns back to its original value.