A rather apropos comment after the flurry of responses on the APA members list on Facebook. I am not sure you saw it as I don't know if you are a member. Maybe you are just intuitive because you are breeding again and realize that is a good topic. Well, the poster on FB felt that without FIFTY birds in a block, she was a loser. She could not go forward. I didn't respond, because I've been thinking about it, though plenty did and it was a long thread.
In short, I think a 50 standard flock is too big. Maybe at breeding season with the chicks but not going into the fall, or at least the next spring.
The biggest problem as you point out is the issue with inbreeding and how then the flock goes infertile. I experienced that first hand when I bought a flock of birds from an experience breeder and he wanted to know who breeding was going? Gee whiz. What could I say? I bought 20 birds, and I think two girls were layers and most of the boys duds. One that he called his breeder did little and the chicks hatched were weaklings. So that is a problem of locking yourself into a breeding program.
Back to your question How many do you need? Well another guy I wrote to, and this was years ago, who posted on the APA site, told me you needed several generations and two separate lines. So if you start with a trio you need at least two trios and work within that for 4 years and then switch the males. I've mentioned this another breeder, in bantams btw that is a big winner -- she lives near my family in MA so we met at a local show up there -- and she felt 3 lines was the key. She did that for 10 years before having to outsource, but she felt in the end you had to outsource because closed flocks were deadly .i.e. infertile. I went with the two separate line method, but to be honest finding a solid second line is problematic, at least for me it has been.
Happy holidays, Sue.