I feel like I'm missing something here.
If I was in your situation, I'd lose the petroleum 15-40 in favor of a synthetic 5-30. Besides, your manual recommends this.
As for the generator or inverter idea...
Considering I'm "known" for going to extremes in everything I own or do... Even I think this is a bit extreme. .
Plus, where would you keep/mount the generator? Those little one's grow legs REAL fast. . if you know what I mean. . And don't bet your paycheck on that chain you have wrapped around it. OR. . How would you start it automatically? I haven't seen a hand held generator with electric start.
As for the inverter... . Humm... That idea might work. . "IF" you install 1 or 2 dedicated AND isolated deep cycle batteries.
Personally, I don't think your main batteries could safely handle the inverter, heater grid, AND starting your truck. Whereas isolated batteries can be run until they are completely drained, yet your main batteries will be fine. Then when you drive your truck, the Alternator will recharge the secondaries.
FWIW: I don't know how cold it is where you will be living, but I've had my truck in Canada (-20 in the morning) after two heat cycles, she started right up with 5-30 and a 60/40 mix of kero.
I will admit, I don't know if she would have started with petro 15-40.
My 2 cents
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98. 5' 24v 2500 Auto/3. 54 4x4 SB QC. Everything but leather. PIAA 1200's, AMSOIL dual filter relocation system, Smittybuilt Stainless Steel Nerfs, Rhino Liner(Junk), K&N air filter(For Sale)15 year AMSOIL dealer. Time permitting, Soon to include Ultra-lite Pyro,0-50lbs boost, Trans temp in the pillar. Rancho 9000's with in cab adjustment.