I literally have a 785+ Page Word Document on what happens in my Universe in terms of Tech / Recent History progression / Organizational changes / etc.
Every detail of the world of Trek that has progressed to the 26th century is accounted for.
That's not counting additional documents & images I have that covers nearly every subject.
I feel you. I have something similar, although it's essentially an alternate Trek where I go into super detail about everything, from the 20th century onwards, although I putter out at about the 2380's or so.
I have a heavy focus on times we don't see alot of. I've gone hard on the 20th/21st centuries (ignoring SNW on that, somewhat.), detailing the Eugenics Wars and what not, as well as WW3, and I go into the immediate aftermath of First Contact.
I then go really hard on the Romulan War through to the early Federation to about the 2240's.
I don't into quite as much detail but there are some topics around the Lost Era.
In my version here, "USS" i'm fine with just being "United Starship", short hand for "United Federation of Planets Starship", or "Ufp StarShip".
"NCC" is more of a situation of that it HAD a meaning, but later on is more of a tradition. I put the Daedalus-Class appearing earlier, it's quite literally the "ship that won the Romulan War". It's actually not that impressive... rather than being the new advanced ship, it's a step BACK from the NX. Earth, and eventually the Coalition as a whole, needed a fleet of ships they could quickly get into battle. Something like an NX was far too complex and expensive to mass produce quickly.
The solution was to make a ship that could be quickly and easily mass produced. Rather than the Phase Cannons and Photonic Torpedoes, Earth slapped old style lasers and nuclear warheads on them, much easier to build and get out into the field. The ships were basically intended to be mobile missile platforms... a tube stuffed with nuclear missiles to warp in, fire off payload, reload, fire more.
These vessels were originally dubbed the "NCC-Class", or "Nuclear Combat Cruiser-Class". After the war, they remained in Federation service where they were rechristened as "Daedalus-Class", but the "NCC" registry numbers stuck and became standard for Federation starships, as did "NX" for experimental registries.
The "NCC" being the default Federation registry was partly an homage, partly just circumstance. The earliest iteration of Federation Starfleet was absolute dominated by the Daedalus-Class, which just imported the registry numbers over. As new ships were being built, it just made sense to just use "NCC" for them to fit the majority of the fleet.