Most of these units have a "brick" in the power cord that converts 120 AC to 12 volt dc. Check to see what the power consumption is there.
You should have no problem using either 12 volt direct power to the unit or running an inverter.
DW and I are both on Respironics units, which she also uses the humidifier, and hers still uses about 70 watts.
We have had no problem getting by using them even during power failures at home with a 12 volt group 29 rv/marine battery from my boat.
You may want to add an additional battery to your set up, and allow a little additional charge time when running the genny but you should otherwise be fine.
Edit add,
If you dont want to use an inverter, here is the 12 volt cord for that unit.
12 volt cord