My problem I explained above sounds very similar to yours. My acnd would run-initially for about 18 minutes and then the fan would shut off but compressor would hum. After leaving it on it would run for 3 minutes, fun shut off, and hum continue. The fan would come on 4 minutes or so later for another 3 minutes. What caused it was connecting the wire to the board rather than clipping it off as I explained. What was happening was the fan motor was cutting off due to thermal overload. The motor was shutting off because it got too hot. In fact hot enough to burn the techs hand when he touched it. The fan motor and the board was not capatable because it was a three speed motor, high, medium and low. The thermostat would only work correctly with a two speed motor. Cutting the wire of disabled the medium speed leaving only low and high. Problem solved