if you can use iPlayer...
I thought this listed all the BBC's folk programmes,,, but i don't see Folkscene mentioned above(is that only 'mediaplayer'?
http://www.bbc.co.uk/radio/categories/music-folk 

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A few comments about BBC in NZ on TripAdvisor here(2013)
https://www.tripadvisor.com/ShowTopic-g255104-i125-k6040724-Listening_to_BBC_radio_in_NZ-New_Zealand.html