Just want to second this. While I haven't done as much hands-on testing, my conclusion is basically the same.
The only additional option I've looked into here is the idea of a DIY inverter-type system. My setup uses a Ubiquiti switch + 2x AC PRO access points, so the power draw isn't that much.
Bill of materials
1. Charger (basically the key component of the system as you'll soon see) - Victron Blue Smart charger
2. Battery - Blue Nova LiFePO4 104 Wh, 140 Wh, 280 Wh, 570 Wh (choose based on your use-case)
3. Inverter - Victron Phoenix 12/250 with appropriate connector for your use-case. For me, the IEC connector is most useful
4. Miscellaneous wire, lugs, breakers, mounting hardware
Some notes
1. The charger will power your inverter directly while charging the battery. So that means that if your inverter is running at full tilt, your charger needs enough leftover capacity to charge the battery otherwise you're borked. So either choose a lower capacity inverter, or make sure you don't run the inverter at full tilt.
2. When considering the batteries, remember to over-provision to account for the fact that you don't want to take the batteries down from 100% to 0%. Lithium, you probably don't want to go below 20%. Additionally, consider your expected C rate. For lithium, you can do much higher C rates than e.g. AGM, but don't over-do it. e.g. for lithium if you have a 20 Ah battery, don't run more than 20 A through there (which would discharge the entire battery in an hour). The battery can probably do it, but it won't like it in the long run.
3. I've also come across
an inverter charger which is available from Geewiz and provides seemingly very good value. The main down side seems to be that it takes 24 V input, meaning that you will probably have to series-connect batteries to power this. Which is doable, but you might need to worry about balancing the batteries.