Hi David,
The base coordinate reference system is NAD83 State Plane Colorado North (US survey feet). The flattening you listed is rounded compared to what's normally used, so I would just use the standard NAD83 definition.
You've got scale, rotation, translation values so you could try georeferencing the CAD data this way:
Defining a coordinate transformation
It also talks about setting up a world file instead. With either method, you would assign (use a prj file) that has the NAD83 State Plane Colorado North (US survey feet) definition.
It's sometimes also possible to directly design a coordinate system that incorporates the translations, scale, and rotation values. Your case would be difficult because of the rotation. Lambert conformal conic doesn't have that parameter so you would have to try adjusting the central meridian value instead. It would be tedious, so I would try the other solutions first.
If you want, please send me an email (mkennedy at esri dot com) and I can send you two documents that discuss this.
Melita