Could be leakage in the triac holding it partially on, or there is a need for a snubber across the load side. Is the 70VAC the voltage open circuit or with the 2 solenoids connected? If open it is leakage, and if it istill there with the coils connercted the triac is either breaking down or triggering from noise.
Measure the voltages with the solenoids and show a clear photo of the front and back of the board, especially the area where the triac and connector is. As well the triac part number.
To see if it is leakage use a 5W appliance lamp across the coils to show if there is enough current to light the lamp with the fault present.
Unfortunately, I don't have the refrigerator that I originally tested this on any more. I just have the circuit board and photos from my inspection.
From my photos, it looks like the 70 VAC is present at the solenoid connector without the dispenser solenoid attached, but I never disconnected the primary solenoid. However, I did remove J3 from the circuit board, and didn't measure any voltage across the solenoid connector. This indicates to me that the fault is on the circuit board itself. After some further inspection and circuit tracing, I found that the solenoid signal comes from a pin on a microcontroller, goes through a darlington driver, then the darlington is attached to the gate of the triac.