Control points close together causing mesh overlap

[amccraw]

I'm using Curvy to generate tubes from predefined data that dictates the control points and the handle vectors, and I've run into an issue with some of the points that are very close together.  With these points, I'm fairly sure the mesh generated from each points extends past the middle and then back towards itself, and it creates a weird spot on the tube.  I've attached a picture of the mesh and of the underlying spline path (which doesn't exhibit the same behavior), as well as a picture where I set the cross range length to a very small number so you can see the mesh crossing over more clearly. I was wondering if there is something I can do to prevent this from occurring, unfortunately I can't modify the input points and vectors at all to tweak the results.

If necessary, I can try to generate a set of data to replicate the issue, but I can't post the current data I'm using.