Hi Chris - maybe, by fiddling … try:
- Make the vertical line.
- Divide, Split=Yes, by the number of turns.
- ChangeDegree on the segments to 2.
- Join the segments.
- CageEdit your spiral with this curve. You’ll see that there is a control point that corresponds to each ‘hump’ in the spiral in a side view. Moving these, or pairs of these, points vertically should get you pretty good control.

-Pascal