Was it just a CAD program or a 3D package you are looking for?
It's 3D I'm playing with and there are quite a few free ones available. Sketch up is probably the best known and I've looked at 123D design from the AutoCAD stable. There was a list on one of the 3D sites I found ... if it helps I can try and find it again.
One thing I've found with 3D packages is that they all seem to differ quite widely in the graphical interface, and each seems to be a whole new discipline, not like say, Corel and photoshop where if you know one you can pick up the other easily.
The mechanism you describe seems quite complicated. What about something like a rowing machine, that converts liner movement into rotation.