Obviously, using shore power is the hot tip when heating/cooling your RV. IIRC, Coleman HPs will work down to about upper 30s F. They will auto change to the propane furnace when they can't produce enough heat output to match the demand. They will also auto change if they become restricted due to frost build up in the unit. In the first case it would take a PhD dissertation to explain the algorithm driving the unit's logic and ability to determine when it will return back to the heat pump mode....but eventually it will.
A Crow's opine as to why it doesn't have a heat strip is that the coach/HP is not wired to handle both the compressor load AND the heat strip power demand. Also someone is sure to try to run the HP and heat strip off the generator.
So, reaching out to the furnace for support makes a lot more sense. And it has a lot of BTUs...
In our experience, you can use a small ceramic cube heater (1600W) to adequately heat our View down to the low 30's. And, being separate from the HP/furnace you could put the thermostat on "gas" and setting the thermostat low, use the furnace as a booster if the cube heater can't maintain your comfort level. Clever and cheaper solution.
Cube heater is also was way quieter!