Follow up post. I borrowed a small 1500W inverter generator (A-iPower SUA2000iD) and it charged the Delta Pros with no issues. I started at very low charging rate (200W) and was able to ramp it up to the full 1500W per the running spec of the generator. I've seen plenty of posts since I joined here about how finicky chargers can be with generators and I've experienced it firsthand. I returned the Firman and have bought the little A-iPower on sale on amazon for about half what the Firman cost.
As it turns out, for my use case, a very small inverter generator is probably my best solution for now. In learning more about the Delta Pros used in combination with the EcoFlow Smart Home Panel (which will hopefully be installed in the next week), if I find myself charging them from a generator in a pinch, without adding some sort of transfer switch and inlet on the exterior of my house, I'll need to disconnect one set of Delta Pro/extra batteries at a time (I'm going 120V, not 240 for the SHP install) from the SHP to charge from the generator, while the other carries the house load. The Delta Pro can take 1800W while AC charging, so the little 1500W A-iPower seems like a decent match because it's small, easy to carry, can run on propane, and should be able to add 4KWh to both 'sides' of the Delta Pro system (8KWh, about what my plan says I'll use during grid-down situations per day) in about 5 1/2 hours.
Anyway, that's lots of likely non-germane info for readers, but I'm happy to have found a solution for backing up the backup that will allow me to extend in grid-down situations. I'm pretty sure my neighbors won't love 5+ hours of generator buzz, but that's a lot better than 24 hours per day of Generac screaming away!