Oooh, they look wonderful! These machines were built like tanks, I always thought the dryers were a little over-built.
Was the lens missing for the drum lamp on the dryer? It should be there as the machine will draw air through this and throw off the balance of the universe and probably slow down drying. I would think you might be able to find this part - #3-12892 (new # would be 3012892).
From the Maytag service manual on the DE712 time dry control:
Time Dry Operation - D712
With timer set for Time Dry, contact 3 and 4 in timer (BU to WH/RD) are closed and bypass the capacitor charging circuit. Since capacitor cannot charge, the solenoid cannot energize to shut dryer off. When the selected time has run down, contact 4 opens and contact 5 closes (BU to GY). This bypasses both high value resistors on the control board (13M & 33M) to set up a "fast charge" circuit through 3 meg-ohm repeat chime resistor. The capacitor will charge in about 1 to 1 1/2 minutes and energize the shut-off solenoid. Cool-down will follow if heat was selected for the Time Dry cycle.
Note: If the load is still "wet" at this point the sensor will prevent the charge from building on the the capacitor until the load is down to at least Damp Dry.