Hey Paul810,
since the idea of your arrowhead is to kill small game (perhaps even self-defense) I would recommend hitting your local archery proshop and purchasing what I think they call a 'broadhead' hunting tip. basically a razor sharp 2 piece x-shaped head that disassembles to be flat. when assembled it screws into a fitting that is glued into the tip of a carbon fiber arrow. you could have them glue the fitting into a scrap of inch long arrow or so. the result would be 2 pieces- the disassembled broadhead and the female 1 to 2 inch long mini-arrow as it were, that can be attached to a stick with some effort. Very sharp and very dangerous.

As an afterthought, you may have more accuracy attaching your arrowhead to a small throwing spear. For that matter, rather than an arrow, since small game is sometimes nasty to eat, go for like a mini frog jigger tip for getting fowl.

I just keep a small pellet/bb gun in house. I get 4 inch groupings at 20 yards. Yes, the neighborhood cats love me, and I love them as long as they don't crap where my kids play. <img src="images/graemlins/grin.gif" alt="" />