Traverse Multiple Splines Using Hermite

I'm using the C# version of Hermite Spline Controller and have the code setup to accept 3 different spline collections. However, I want to be able to traverse different splines on the fly. If I'm in the middle of spline one, I want to be able to jump over to the middle of spline 2 (or the relative position).

I know this will be pretty complicated and I'm taking some whacks at the Interpolator script in Hermite, but I was wondering if anyone has already accomplished this or knows of an already existing Spline Controller that does this.

The idea is an endless runner who has 3 lanes of movement and can jump between them, but has dimensions like hills and drops so flat planes don't work - hence the splines.

Thanks in advance if anyone can give me input.