Replaced the AC actuator and motor after cycling through hot and cold it is stuck at hot

What brand motor did you install? If it is aftermarket I would recommend using a motorcraft part. Only reason I am recommending you use OE part is because I ran into the same problem on a Lincoln. Pulled dash out to replace motor and would still blow hot with the aftermarket part. Had to pull dash back out but luckily on the second try it was not so bad. Installed a motorcraft part and problem fixed. Let us know how it goes.

The temperature sensor would be inside the evaporator box behind the dash. If that would go bad it would effect the AC compressor operation so I do not believe that is your problem. Try to see if you can pull codes from the climate head. Here is the procedure.

The EATC module on-demand self-test will not detect concerns associated with data link messages like engine coolant temperature or vehicle speed signals. A diagnostic tool must be used to retrieve these concerns.
The EATC module on-demand self-test will detect concerns in the system control functions and will display on-demand (hard fault) DTCs for concerns that are present during the self-test. The vehicle interior temperature should be between 4°C - 38°C (40°F - 100°F) when performing the self-test. If the temperatures are not within the specified ranges, false DTCs may be displayed.
The self-test can be initiated after cycling the ignition switch from OFF to ON. Normal operation of the climate control system stops when the self-test is activated.
To enter the self-test press the OFF and DEFROST buttons simultaneously and release, then press the AUTO button within two seconds. The display will show a flashing blower icon for twenty seconds, after which all vacuum fluorescent segments will be displayed if there are no on-demand DTCs present. If DTCs are present the EATC module will display "00 00" and then on-demand DTCs. Record all DTCs displayed.
If any DTCs appear during the self-test, carry out the diagnostic procedure. Refer to the Electronic Automatic Temperature Control Module Diagnostic Trouble Code Index and follow the ACTION for each DTC given. See: Diagnostic Trouble Code Tests and Associated ProceduresElectronic Automatic Temperature Control (EATC) Module Diagnostic Trouble Code (DTC) Index
If a condition exists but no DTCs appear during the self-test, GO to Symptom Chart Condition: The EATC System Is Inoperative, Intermittent or Incorrect Operation. See: Symptom Related Diagnostic Procedures
To exit the self-test and retain all DTCs, press any button except DEFROST. The EATC module will exit the self-test and retain all DTCs.
To exit the self-test and clear all DTCs, press the DEFROST button. The EATC module will exit the self-test and all DTCs will be cleared.
Always exit the self-test before powering the system down (system turned OFF). Once the self-test is exited the ignition switch must remain "on" for at least thirty seconds to allow the door actuators to automatically recalibrate.
Continuous DTCs will be deleted after 80 ignition switch "on" cycles after the intermittent fault occurs.

I don't think any climate control is manually operated anymore they are all logic driven. When you replaced the actuator did you move the bend door back and forth to make sure it moves, also the door can fall apart inside the plenum. You should remove the actuator and move it manually with the climate control going which will help you see if the door itself is the problem.

Please let us know what you find so it will help others.

Best, Ken