I just bought Eaton UPS
Well you could try to install a quieter fan? But perhaps you could simply mount an on/off switch, in the fan lead, and switch,it OFF at night time. That will NOT Hurt anything the fan is used if the unit is under load etc, just sitting at night time with Minimal Load on it. Then that should be fine, as soon as you need to use it the next day, ensure you put it back on. You could even use a "Timer" circuit, or even a night/day sensor. It should also be fine to do what you suggested, just ensure that you have close to 66% - 33%, On to Off, otherwise the batteries may NOT get enough cycling as they should. An old trick we used to do in the, room-full-of-equipment, computer. days, was to get a small variable resistor and insert it into the Plus of the Fan Power line, now you can adjust it's speed, and sometimes just a little slower made a HUGE difference. We All hate noisy fans..