This is apparently a common issue with these units. The dryer would stop and beep, flashing the error code E68. I tried cleaning the lint out of the unit and around all of the contacts I could find as this was suggested as a possible fix. Didn’t solve it.
The code is for a stuck button. All of the buttons seemed to depress and release normally, but the Dryness setting wouldn’t change when the button was depressed. I ordered a new control panel from this site, and it got here in 2 days! It was much cheaper than Sears. I had to recover a couple of plastic bits from the old panel and swap them to the new panel, but really a breeze to fix.
I hope someone finds this when searching for a solution to their problem!
Thanks again to this site!!