Larry,
Hmmmm...not being able to troubleshoot the heatpump because it's too warm
Man, I'm jealous being in Pennsylvania now at 4 degrees outside
Anyway, I can't help you with the actual diagnosis of the unit's switchover as I'm not familiar with it, but if the techs know the operation of the unit, they should be able to simulate the cold conditions to cause the switchover. Usually most designs have testing capability built into the design to allow cold operation troubleshooting.
The unit probably has a thermistor registering the outdoor air temperature. Thermistors can be either positive or negative meaning their resistance can either increase or decrease as temperature changes. If it's positive, resistance increases with temperature, if it is a negative thermistor, it's resistance decreases with an increase in temperature.
In the positive case, as the temperature drops, the resistance drops which can be simulated by putting a resistance in parallel with the thermistor. By electronically simulating the colder temperature by either adding resistance or removing resistance, they should be able to adjust the switchover point and troubleshoot the system.
The other option is to actually simulate cold conditions if the repair shop doesn't want to touch the electronics. Insist they contact Dometic and determine the location of the external temperature sensing device. Hand them a can of freeze spray and tell them to spray the device. Freeze spray is available at most electronic stores and is used for thermal troubleshooting. It will cool down well below 0 degrees F to allow for troubleshooting.