I think I have read in some posts that some strains of ich can go dormant for longer then 76 days. They are not that common but out there so that might be something you are dealing with here in your display.
some are even doing 99 days or more of fallow.
Another possibility could be cross contamination between your qt during TTM or between your qt and display. Keep in mind that you can contaminate them just by putting your hands from one into the other, reusing a siphon; net; container; hose; ect. that wasn't thoroughly disinfected or one of the equipment that didn't dry fully prior to use. There are a lot of small things that cause failure unfortunately.
For example almost everyone uses a heater in their qt. most heaters that have that turning knob on the top with a rubber housing surrounding it. If you don't pay attention to it and fully disassemble it, it will hold water and doesn't fully dry. That alone can cause failure. I know this from experience.
A tank does't need to be well established to be parasite free but will need it for the overall health of its livestock long term. Your current fish list looks great and I would't try to add any more tangs that you have mentioned in your other post. If you want to go that route my only suggestion would be to add a lot more rocks so that they all have their own place to hide and add them all at the same time.
Personally I would keep what you have and add some adult and dwarf angels, couple of butterfly fish, harem of anthias and you can even do a small group of maybe yellow tangs. This will keep aggression down which can cause them to hide, fight or cause injury. So many other beautiful fish out there to chose from.
Personally If i'm going through a thorough qt regiment to get a fish in my tank, I want to make sure I can keep it healthy for a long term so all that work doesn't go to waste.
Thats just my opinion
