Well thanks for the heads up warning. My laser cutter's home will be right next to my computer, and I'd rather not fumigate myself... Although a bit curious; i'm assuming your university's laser cutter has the required exhaust system, or does it just have a carbon filter and vent indoors?
If so I will be venting via an exhaust tube to the great outdoors... my children can thank me later for contributing to the hole in the ozone. Anyhow perhaps that will solve smell issues.
Of course that still won't solve not being strong enough to handle the torque... Of course the one benefit to laser cut lexan over FDM ABS would be that the lexan would be at it's peak strength since it's not being put down in .1mm layers, and therefor no delimitation issues.
As far as cutting nylon, according to this it will, just melts badly--whatever that means--i'm guessing deformed edges which would be less then ideal for gears. http://www.pololu.com/docs/0J24/3
Perhaps a better solution then fabricating our own transmission is harvesting one from an all metal transmission from an inexpensive DC geared motor. Perhaps one like this...http://www.ebay.com/itm/3-6V-DC-Small-M … 2c5f441e02
Or this is probably not going to have the acceleration we would need, but use this motor for a direct drive extruder, but since it's geared you get the resolution and hopefully enough torque to make an ultra compact extruder... I'm thinking it's not going to have the acceleration you'd want, but not wanting to track down the data sheet for it, I just ordered one to play with. for $4 it'll be a good toy to have around for some other project. It has 64 steps per revolution. But with internal gear reduction included the equivalent of 4096 steps per revolution. I am guessing it's plastic gearing inside... But maybe metal. I'll find out in a few days;) Anyhow this strikes me as quite an elegant solution if it can meet the torque and acceleration requirements. I am pretty confident it will meet the torque requirements, but speed not so sure. Of course backlash I am assuming will most definitely be an issue with such a stepper motor, but nothing our good old hysteresis firmware compensation won't handle with ease. http://www.ebay.com/itm/380803233237
My final thought is that the super cheap drills... Take it apart and harvest the gearing in that. I've done that for a few projects, and it turns out to be a wonderful source for a cheap (typically) all metal planetary transmission with in many cases built in adjustable over torque protection, not that you would want that in this case.