Using TV inverter to power fridge while towing Do or don't?

#1 use the propane, it is the best option for your setup

#2 the 120v heating element in the fridge Does Not need
pure sine wave, a cheap 400w intverter will do the job
But you will use 25-30 extra amps on the alternator circuit to feed the inverter to heat up that 300w 120v electric heating element

considering its HOT and you are using the A/C in your T/V, will the alternator handle the extra continuous load ?

if yes, buy a cheap inverter and run your cord

i think propane is the best option