What are all your requirements for days again?
As for something as regular as every other Friday, you’ll have to just skip fridays, assuming you chose a end before sunrise type of schedule. If you chose start after sunset you’d skip Thursday’s.
How often do you fertilize? If it’s only every few months then I’d just manually go in and do a quick run after they fertilize. It’ll be calculated in the soil moisture so it won’t then try and water again the next day.
Having it skip just one day a week is what I do as well and it’s all good. Skipping several days each week makes it a little more restrictive but I really wouldn’t worry about skipping just Friday’s.
I actually only have lawn zones skipped day before mowing. I still let my shrubs get water. That’s one reason I use two schedules, both on flex daily. The other is my drip runs long, so I have it start after sunset.