Here is a link to the parts breakdown Whirlpool RES7745PQ0
Do not have a wiring diagram so am doing some guessing
Do you have the wiring diagram.
If not, tale a look in the control console. They like to hide it here.
When you say the timer works, I assume this is in timed dry mode.
Is this correct?
Also when checking switches and thermostats did you use the lowest ohms scale and did you remove the wires from one side of the device you were checking.
If not, you may have been measuring an alternate (parallel) path.
The only thermostat that should effect starting is the Thermal Fuse ( Item 7 in the Bulkhead Parts section)
Usual start circuit is Neutral, Thermal fuse, Door switch, Motor's temp protector, Motor's windings [Run and Start (AUX)], Start switch, Line1 |