Looks like there's currently no way to obtain the crew for a show anywhere. The only reference seems to be for querying crew credits for a person, but obviously that doesn't work since we don't know who the people are we need to query ;-).
Once the endpoint is in place, I presume it's trivial to add it as an embed, which would also be appreciated.
This looks to me like the only major hole in the API currently, thanks for all your work!