I looked at your Pool Math logs but they are dated over a year ago. The best method is to determine how much FC ppm you lose a day due to UV. If it for example 3ppm, then you know you will lose 18ppm over 6 days. How much does the 3 pucks add to your PPM, also do you think they will fully dissolve over the 6 days? Do you plan to add any LC?
Not sure what you mean by no filter cartridge. Do you get so much debris that your filter clogs in 6 days? Agree it is best to run your pump 24 hrs to keep your pucks dissolving.
I recently was out for 10 days, I added 2 gals of LC before I left and loaded up my floater with 5 pucks. I then had a neighbor add another gallon of LC mid week or later (whenever it was convenient for him, it wasn't necessary but he offered so I agreed). So basically I brought it up to SLAM level on departure and let it dwindle down over the 10 days.