my thought is by the time you make something functional you could have done it by hand 
Maybe you can get a couple buddies to help out (get pizza and beer)
I feel your pain though, we had to get 10 prototype boards of similar count out at work and our stencils are MIA somewhere from the maker to us, it took two of us 2, 11 hour days to put it together.
the feeder is more or less a gear, and a few wheels, ours are spring loaded ratchet jobs but those are real pick n place machines for high speed and volume