I suspect in the end fuel will be the limiting factor. I’m not up on residential codes but I suspect best you can do is a pair of 1,000 gallon liquid propane tanks provided you can keep them 25 feet from property line. That should put you in the neighborhood of 3 weeks running time on a 30 KW, 1800 rpm, generator (assuming 50% loading).
Some load controls should let this be more than adequate. You are talking about 125 amp service. Comes a point where all parties concerned need to except certain limitations.
Even this reeks of overkill but some want what they want. In your shoes I’d rather offer a solution that will provide enough to get by for a worst case than something that handles 100% of load for only a few days.
I am in a hospital setting. I have been in situations where generators run out of diesel fuel. Now you have all fuel filters plugged, all starting batteries dead, all generators needing to be primed, and no power to accomplish this.....even if you have fuel in the ground....and help isn’t available in theses situations. Don’t even get me started on ATS’s that die along with generator PLC’s that go in these events.
Sorry for the over the top rant. Just that I have lived through more of this than I imagine most have. It is a lot like insurance, you want enough but not at the expense of meeting daily needs.