If anyone else comes down this road, I ended up finding an affordable solution that works for my use-case.
I observe ~30 minutes of battery backup at ~200 watts and cost ~$80 in the LiFePO4 batteries for each APC unit.
(1) APC Back-UPS Pro BR1500MS2 with two new 12V 7Ah LiFePO4 batteries
(2) APC Back-UPS Pro BR1500MS with two new 12V 7Ah LiFePO4 batteries
(3) APC Back-UPS Pro BR1500MS with two new 12V 7Ah LiFePO4 batteries
I observe ~30 minutes of battery backup at ~200 watts and cost ~$80 in the LiFePO4 batteries for each APC unit.
(1) APC Back-UPS Pro BR1500MS2 with two new 12V 7Ah LiFePO4 batteries
(2) APC Back-UPS Pro BR1500MS with two new 12V 7Ah LiFePO4 batteries
(3) APC Back-UPS Pro BR1500MS with two new 12V 7Ah LiFePO4 batteries