Make fzf the autocomplete handler for cd

[DannyBen]

I know there are several techniques and a built in functionality to sort of complete paths when typing cd <tab> - like the cd **<tab> and Alt+C.

I do not wish to use the ** (or any) prefix, and I do not want to see the fzf menu. I just want it suggest (as if using --filter) fuzzy-matched directories in addition to the native cd autocomplete, using the native shell completion.

In other words, I wish to implement this:

$ cd smd<tab>
/some/directory        # highest fzf score
/some/other/directory  # next fzf match
/opt/smd               # since /opt is in my CDPATH (offered by native completion)
./smd                  # offered by native completion

I have spent hours searching, any hint is appreciated.