I discovered this forum because I am looking for a fix for the same problem. Mine is a 2 year old Elite Sportsman model 20071914 that has about a dozen smokes on it and suddenly yesterday shut itself off and did the click thing when I tried to turn it on again.
I phoned Masterbuilt, great gal on the phone, and ordered a replacement control unit (29.99 for the panel and 11.48 shipping). The customer support gal told me to take off the control unit each time and store it inside the house. Moisture and humidity is the culprit she said. My smoker sits on an outside deck under eaves and with a waterproof cover on it. Not good enough apparently. You'd think Masterbuilt would make the wiring a little more robust since a huge percentage of their units are used outside.
Anyway, good to find y'all and hope my new control panel fixes the problem. I am NOT an electrical fixer and though it is my loss, rewiring stuff ain’t gonna happen by me.