Brian, Try a small job shop in your area running a Wire EDM machine.
Your only looking for a 2 axis machine which could be less per hour
cost than a 4 axis. Width of cut can be as small as .105 mm (.004)
wide, this is more expensive, up to .305 ( .012).
There will not be a burr on the edges of the cut material, there will
be slight discoloration that will buff away.
In the interest of cost you should have your drawing on a CAD file
that the shop can generate there cutting program from.
Best of luck,
Advantage Tool & Microweld