Gearotic Motion is in my opinion hands down the best hobbyist tool for generating gear toolpaths, but perhaps a bit pricy for a student ($120). Gearotic Motion can generate some really crazy stuff, particularly if you are into clockworks, and it is written by the guy who wrote Mach3, so you know its good stuff.
Perhaps the easiest way is to just download a drawing of a gear from SDP-SI and and export it to whatever format you need to cut. I would love to see someone make use of wooden gears, something I'd love to do next season.
When you say 2x2x5, is that in inches? mm? ft? meters? What kind of motors are you using?
I've never seen wooden gears spinning crazy fast (like the pinion on the output shaft), but just because it isn't common doesn't mean it won't work.
Interesting historical sidenote, some of the first mass produced good were clocks (with wooden gears) for middle class Americans in the 1840s or so, long before metalworking tools were common!