How to make a python wrap around a support in Autodesk Maya without glitches?

Question

3D

There is a 3D model of a python for Autodesk Maya 2018, with a rig. It is necessary to wrap it in a spiral around any obstacle (for simplicity, around a tree branch). Used SplineIK Solver. Later the collider will deform. The animation is poor quality, when the curve is deformed, the body of the python twists, and in proportion to the distance from the head. Specifically, it looks like this: there is a TwistRamp gradient in the SplineIK Solver settings, the Twist solver itself has a Relative mode. Because all other modes instantly twist the model with a cloth. Twist-locators are hung on TwistRamp. I do not twist locators. Each locator is rotated to zero. The curve deforms during animation (this is nHair), so the model shakes. How to make sure that it does not shake? There are checkboxes in the start settings of the SplineIK solver, I studied them, set them, but it did not help. It only got more difficult.