I am going to leave some things vague for future updates but here are their names and basic rundown
Centaur Class Faststar Chiron
Maxon Mining ships 18 total with around 2500 people
Maxon's Respite is the headquarters, R&R ship, and has some light industrial capacity for some repair during standard mining maintenance needs.
Mining Ships 6
Chrysos ("flagship" of the mining division for MM. was Carl's ship)
Sidero
Iridio (was full of ore at time of attack)
Asimi
Chalkos
Ermis
Ore Ships 2
Spasimo
Syntrivi
Tyleum processing ship
Venzi
Tyleum refueler
Apovlita
Hydroponics Ships
Sitira
Ryzi
Waste processing ship
Prymni
Water processing ship
Limni
Cargo Ships 3
Epsiki cargo ship now Auxiliary Naval Ship
Fortio
Syron largest cargo ship (was 70% full of tyleum at time of attack)
Ships picked up since Cylon attacks
Atlis small passenger liner now Auxiliary Naval Ship
Banshee mining and Tomas Decat's ship
Quincy ore ship. Being converted to tyleum processing ship.
Oliver cargo ship
Herse a fast messenger. Originally a Colonial Postal Service ship now an Auxiliary ship.
These ships could except for parts could stay alive for decades in space if they don't run into the Cylons. They lack industrial and especially military power though.
To me at least other than not being in the Cyrannus System that for some reason the Colonials never left in New BSG none of the ships seems unlikely to not exist. There are other out there reasons I have besides "convenience" that kind of tie into one of the core themes I am trying to go for that I can't go into too much but hopefully it will all be at least internally consistent.