You would have better luck with a cartesian style robot which used a vacuum device to pick up parts from some type of reel or tube and placed them on the board which had previously had a solder paste mixture deposited on each pad. Hey, I should patent this!
Hmmm... there is plenty of SMT board mounting machines for production, but I see a small machine hardly feasible for an hobbist.
Another idea could be making a helping "machine", I'll try to explain...
At work we had this
http://www.lpkf.com/products/rapid-pcb-prototyping/smd-assembly/smt-assembly/pick-and-place.htm manual pick-and-place. It had two orthogonal slides, that helped a little moving the right way and were lockable by means of a button. Then you could rotate the component (picked up by vacuum), and place it finely by means of two "endless screws" (normal long screws used for that purpose). The camera with short focus (mounted on a movable arm) was a good thing.
The whole machine was indeed quite rudimentary, but could work. In the end, we never used it, first because it was intended for reflow paste soldering, second because it took too much to place a component, so for our needs it was overkill.
Using this kind of device (don't try to buy it, it costs toooo much!) for placing (maybe putting it on something like a light glue) before soldering wouldn't be a bad idea for very tiny packages.