Surprisingly, the best troubleshooting information was found in the documentation included with the dryer. The Internet mostly failed on this one. Once I found the troubleshooting guide inside the control panel area, it immediately told me what to replace. Had I just checked there first, I would have saved time and money.
As it turns out, the damage to the control board was very obvious, both visually and olfactorily. The heating element relay on the control board had welded the contacts and begun to overheat. This caused the heating element to be on any time the dryer was running, which was causing the clothes to get extremely hot. Thankfully, we discovered the issue before too many cycles. This is where the internet missed it. 95% of the suggestions were related to one or more of the thermostats.
Although it would have been cheaper to replace the burned relay, I didn't have access to quality soldering equipment, so I elected to replace the entire board. Fortunately, the engineers made swapping the board a five minute job. Just remove a handful of connectors and one screw, push the magic release tab on the plastic housing and the board slides right out. It is accessible without opening the guts of the dryer, through the control panel area on top. The board itself is mounted to a plastic shell which protects the board when handling it.
Overall, this was a very easy repair.
