All things being equal, it sounds like your pool loses about 3ppm a day. That's pretty typical, maybe a little on the light side for North Texas - a lot depends on how much sun it gets during the day, temperature, cover, usage and so on. But lets assume it's 3ppm a day.Oh boy, math. So are you telling me to add 1 gallon every 3 days, or add 1/3 of a gallon, let's see, that's 128/3 = 42 ozs every day ?
You want to keep your FC number in the range for your CYA - 50CYA = 6-8PPM FC (with a minimum of 4).
If you dosed at sunrise up to 8ppm, and you lose 3ppm during the day, by the next morning, you'd expect to be at 5PPM. That's fine, but a little below the recommended range, and skirting with the minimum (Swampville as a certain member likes to call it). Add another dose back up to 8, lose 3, back to 5 and so on.
You suddenly get a big rainstorm, the extra water dilutes the pool a bit, and your FC is now 3 or 4ppm, and things start going green...
Sun is particularly sparkly today, you lose 4ppm not 3...now you're at 4ppm, dose to 7 forget to test, another sparkly day and you're at 3ppm...things start going green...
Running at the bottom/minimum has risks
Better then to dose at sunrise to say, 10 or 11ppm, knowing that you are going to lose three during the day anyway, and be at 7 or 8 PPM the next morning - never getting below the recommended range. Trust me, no one is going to notice 10PPM vs 8PPM. If suddenly the pool loses 5ppm, well now you're at 5...still in range, no panic, just redose up to 10-11 again.
Daily dosing is much more consistent - to dose for three days, you'd need to put in 9-10PPM, which on day one would mean going from 7 to 17ppm. Thats still swimmable (lower than the SLAM level) - the key though is understanding your pools demand, and the only way to do that is regular testing to see where it is, and how it behaves.
One last thing - when testing, try to be consistent - at least starting out. Sample your water from the same location in the pool. Try to sample at the same time each day. Test the same way etc. The more variables you eliminate from the process, the more accurate and reliable the results will be, and more importantly, if you suddenly get a weird result, you can be sure that its because there is something to address, and not just because you took the water from spot B vs spot A today etc.