Big block also has an 11' convertor, Your 318 transmission won't accommodate anything bigger that a 10" due to the smaller housing. The small block 727 and big block 727 have different cases, there is no seperate bellhousing.
If you are planning to do an engine swap into a 318 car, the big block should also be run with the 8.75 rear end and the heavier drive line or you will probably break something.