Tonight, I popped my access panels open to inspect the wiring at the analog box. Everything looked totally hunky-dory. Hey, thank goodness I've got these access panels, huh? Sure makes life easy.

I removed and re-seated the wires and buttoned everything back up. Since we all know I'm writing this weeks later, I may as well expand on what happened. I flew it again the next day, and the problem happened again. I pulled the top cowl off and inspected the wiring at the RPM sensor (which is a sensor that screws into the magneto), and everything looked fine. I removed and re-secured all the connections just to make sure...to no avail. When I flew again, I saw that the RPM sensor dropped out when the oil temp was between about 140F and 160F. Sure looked like a temperature range issue with the sensor. I figured I'd have to replace the RPM sensor.
I emailed the guys at Advanced Control Systems letting them know what the issue was. I swear it wasn't two days later when I got a brand new RPM sensor in the mail. Love it. Will install it when I change the oil in a week or so. I can live with the problem until then.