I checked the wiring. It shows continuity to the fan. I know that's not a perfect test, because the real system operates under load, but I figured it was good enough for now. I was able to find a local dealer that was helpful enough to find the part, and I ordered a replacement. I picked it up this morning. My multimeter shows 1Ohm for the resistor, but my multimeter doesn't do well for much below a couple Ohms, so I wouldn't use that as a solid reference.
I won't get a chance to put it in until next week, but I'll update with a final solution.
Matt