What would be better:
Since,
Computer power supply only provides 12v, 5v and maybe 3.3 or 3.2v based on newer low power logic.
LCD monitors are also same, 5V for display and maybe 12v for backlight and audio(if any).
So, wouldn't it be better to just use DC-DC converters to get 5v and 3.3v from a nice large 12v marine battery and splice that into computer power supply with a high power diode (so PSU won't feed the converters backwards)... and a diode coming from PSU so converters won't back feed PSU. Sort of like a bridge rectifier.
There are adjustable dc-dc converters available and they are not expensive. These are more efficient than dc-ac type... aka inverters in regular UPS. Remember, we are going 12v to lower not 12v to 110ac... losses are minimal of course depending on the type of converters.. but they are much better in general.
The idea is, considering 0.7v diode drop, adjust the converters to just about or 0.2 volts or so below average PSU voltages and splice them in.
In operation, a battery charger will keep charging the battery all the time and DC-DC converters are online all the time feeding the motherboard and peripherals along with PSU.
When power fails, nothing happens.. everything keeps running (until battery runs out of course). And, when power comes back, the charger starts charging.
Of course, some details such as how will the charger know battery full etc., when there is constant drain.. (shouldn't be drawing much current during PSU power - set converter below psu) need to be worked out and not a big deal once voltages and current values during operation are known.. this could be further mitigated with a relay and a "super capacitor" which could provide just enough power while a relay switches converters to battery (if proper battery charging is Important - different design)..
Monitoring can be done simply using an Arduino and some code along with few components... actually, if you just to shutdown pc after power loss, not a whole lot is required. OTH, monitoring voltage and battery status etc. would require very few components and few lines of code.
You may wonder, why go through all this?
1) no need for expensive pure sine wave inverter UPS.
2) efficiencies. Precious battery power is lost during conversion of 12v to 110vac.... and, back to 12v, 5v, 3.3v by the PSU!
3) avoid all sorts of these overloads and failures.
4) granted it is tailored to specific devices, run time could be much better and no need for any special batteries..
Just a thought ...