How did it work out?
This is a good lesson for the future -- temperature probes should always just measure ambient temperature. Use the controller's delay function and range function to keep the ambient temp +- 3 degrees of your target temp (or more or less depending on your purpose and how often you're comfortable with cycling your cooler).
If you immerse your probe in liquid, a starter, whatever, all that will do is insulate your probe from the ambient temp and cause the refrigerator/freezer to swing wildly +- your target.
Stuff I've learned from HBT and logic.