As long as it helps you feel less overwhelmed...Forgive me, but can I go into Guy mode?
Lets say you went off peak and assume that Off peak heating needs thermal storage.
A simple off peak thermal store of 600 gallon of water, with an expected 40 delta T, will be able to store nearly 200,000 BTUs. Storing this heat and having it radiate into the home when you are not on the off peak rate is the key here.
200,000/12=16,000 BTUs per hour which is, what did you say your heat loss is? So, before you go on off peak, you may have the room cooling down a bit.
The tanks will be covered like 'sofas' and radiate the stored heat when off and will get warmer when the price of energy is low.
Use six 100 gallon tanks, at the perimeter of the room, with 1500 watt immersion heaters at 5100 BTUs each.
Six 105 Gallon Rectangle Poly Tanks 105 Gallons 39"L x 26"W x 26"H $478.99 ($78.99*6=$2868)
Six 1500 watt heaters will put out 30,300 BTU (1500 watt = 5100 BTUs).
Six 1500 Watt Screw-In Water Heater Elements cost $10 ($10*6= $60)
Control each immersion heater with a Digital LCD Thermostat Temperature Regulator Controller with sensor, and also one for the room...($12*12=$144) wired in series so that when the room calls for heat and the tank is under it's setpoint, and you are 'Off-Peak rates', it turns on.
Six digital timers (with memory when the power is out, $7.50*6=.$45)
Have a wifi thermostat that you can look at on the web and PAY someone on a retainer whom you can count on to come over when you call and start a generator with just one or two of the heaters going. How big did you say your gens are? How about a 2000 watt Yamaha? W/O the gen and wiring 2868+144+60+$45=$3117. I have no idea how you would wire the heaters so that they have their own circuits, but maybe with a 'Wiremold Track'.
Off-peak electric- cheaper than propane...But only 1 COP...Radiant is more comfortable than forced air...