I am unaware of any commercial BMS that has a schematic available. Even if there is one, then you would also need all the software / code for it, since a smart BMS will have an MCU (or several) controlling it, and software for it. None of them have that available, either.
There is info on a few DIY BMS development threads here on ES, and probably elsewhere, but you'd need to look up those threads (mostly in this subforum) and read them to see if A) they do what you want, and B) they were completed enough for you to finish and C) that they have the informaiton you need to build one (schematics, code, etc).
If there is a specific BMS model and brand you are looking for the schematic for, what is it?
Whatever your unspecified "special design" is, you will probably have to either reverse-engineer whatever BMS you are trying to emulate / imitate, and figure out how they did what it does, and write your own software for it to run it, or you'll have to contact one of those companies to create your special version of their design and build it for you, or you'll have to find chips that can do what you want whose companies provide documentation on how to use those chips, such as sample schematics and code, etc.
Also, BMSes dont' normaly have a capacity rating, only a current rating. Your cells will have a capacity *and* a current rating.