In her TV series “The Edible Garden” Alys Fowler recomends cooking them with winter savoury. You can see it on Youtube, and, if I have mastered the technology – here is the link!!
https://www.youtube.com/watch?v=W-nKo-RdSTk
I don’t think that’s been too successful, the relevant bit is…
or you can just search for “fartichokes” on youtube, I’m sure it will get you there.
CP