Thanks, everyone. I was afraid that drilling was probably the answer. If the screw was larger, and I had the tools and confidence, I'd try SteveH's method, but I'm not personally comfortable trying to use an unfamiliar power tool on something the same diameter as a grain of rice. And it would proably take weeks to scratch a notch in the screw with hand tools.
In case the local guy says no, anyone have any experience with a featherweight ship-in place?