We make hand-made handbags and are looking for a U.S. manufacturer to
manufacture small amounts of handles of our own design.  The handles
need to be made of a hard, unbreakable substance (like acrylic or
plastic) and not be made of a flexible material like beads or cloth.

We aren't looking for pre-made craft purse handles, but someone to
make our own handles...who do we contact?

An acquaintance of mine used this firm to manufacture some small
plastic products for his business:

http://www.piercomponents.com/handles.asp