Greetings folks! So recently, I have gotten into mechanical engineering, and I have designed (mainly in my mind) a new type of mechanical gearbox. For those curious, it is one of those nifty infinitely variable transmissions, or IVTs (it doesn't actually have any gears

). So yeah, I have been wondering how I might be able to build a real gearbox according to my design. The design is rather complex, and at a very rough estimate, I would guess about 40 or so moving parts (not counting individual bearings and such). It has many parts that would be sensitive to manufacturing inaccuracies, including cams, cam followers, clutches, etc, and certain parts that have to be placed at very precise angles and positions.
I have thought about 3D printing, but I am not very sure that would give the types of tolerances the gearbox would need for proper operation. Scaling the gearbox to large sizes would allow those same tolerances to bear a much less significant effect on the operation of the gearbox, but of course, 3D printing larger objects is more expensive.
I don't have access to any machining tools that I could use to manufacture parts, and most machining services I have looked at boast pretty lofty prices.
I have even thought about emulating 3D printing myself by cutting sheets of paper to very exact shapes, and then gluing those together in layers. But of course, that has some obvious issues I probably don't need to mention.
Perhaps I could solve some issues of poor 3D printing tolerances by adding things like rubber bushings to fill gaps, incorporating more part flex into the design (to ensure reliable contact between cams and cam followers, for example), and perhaps even modifying the parts once I receive them.
So why do I want to manufacture one of these gearboxes? Just for fun! I'm not looking to make a ton, just one to play with and to prove (or disprove

) that my design works. No big deal if I can't make one, but I would love to if possible. Since I have become stuck on the logistics of doing so, I have come here in hopes that maybe someone would have some suggestions.
So yeah, does anyone have any suggestions for how I could go about building a small, complex gearbox?

As of the current, I am looking more toward the 3D printing side of things, especially if I am willing to pay a little money to get it right.