So I got off the phone with the BobCad folk, and they basically gave up and sent me over to their SolidWorks team, which would have been great (and probably the best answer) but has a hobbyist, I just can't afford that.
I'd really like to be able to combine multiple parts into a single project, make sure their movements don't collide, and such, and get that in a solid modelling 3D CAD app, rather than just 2D drafting.
What's my next step up the food chain? I'm guessing Rhino, but are there other good choices?