Chest freezers don't have defrost, so quite low power. But figure whatever startup surge is 5x rating on nameplate.
Look for low no-load consumption inverter. Or one that has a "search" mode, turns off, wakes up periodically to check for loads. That might not work for a fridge with defrost timer, but should be fine for yours.
Victron has inverters from 100W to 10,000W. most need separate SCC. Or select an AIO/hybrid.
(I suggest only MPPT SCC, not PWM. Except for small system with lead-acid battery.
AGM batteries are simple and robust, so long as not charged with too high voltage, and not completely drained and left that way. Good for 300 to 700 cycles to 70% DoD, suitable for grid-backup. That's what I have for whole-house backup.
There are LiFePO4 batteries with lower purchase price than AGM, also worth considering these days.
Best to have BMS for whatever operating voltage, 12, 24, or 48V, rather than multiple lithium batteries in series.
Here's a very low cost 50 Ah 48V battery:
eBay is weird with their deals, you really have to look at every single listing that a seller has. On a separate listing, as a single unit they are still at the lower price- HERE And DC House is $364
diysolarforum.com