Why not just wax your face? I think it would be far simpler and less expensive then to go another route. Plus it's leave your face baby skin smooth. Make sure you shave first and then allow a little bit of stubble to grow out before waxing. You don't want long hair since that will hurt like heck but you need hair for the wax to grab. A jar of wax costs under $10 in most drugstores.
There is also sugar wax but I've never used that before but have seen commercials where it's used on men's facial hair. Its more expensive, between $10 & $20, then traditional wax but it may work better.