Dave,
If you can get to the probe easily, you can roughly determine where the 32 degree Fahrenheit mark is on the stat. Get a cup of ice water and put the end of the probe in it. If the machine is off, turn up the stat until the machine comes on. If the machine is on, turn the stat down until it shuts off. You can even do this with the stat disconnected from the machine. Just turn the dial and listen for the click. Good luck and count my crossed fingers in, too!