I understand but do you see that at 3:50 am in your specific setup that's when you would be most likely to be low on FC ??
You could also switch your run time to something like 9/10pm to 3/4am still giving you 6 hours of run time. Let it run for a few days at the new time and then check for minimum FC just before 9pm when it switches on or if possible turn off the SWG and mix for 30 minutes and test(turn SWG back on). Depends on your set up. Then test again in the morning before the sun comes up like an OCLT to see what FC level the SWG puts you at. The morning test should be within 1ppm of the actual FC level at 3am without having to disturb your sleep.
Also having the chlorine pumped in at night gives it more of an opportunity to kill organics in the dark rather than being eaten by the sun at 10:00 in the morning.
Depending on your utility company you might even get a break on electricity cost $$$ running it at more of an off peak time.