Surely the best advice for you here would be to """Pick an area of the UK you would like to visit""" and whichever area you will be in I guess there will be live Folk music and if people know you are visiting, I am sure you will not have to rely on public transport as there will be lovely Folk minded people who will take you to and return you from Folk Clubs. A bit of good forward planning never went amiss.
Best wishes, Mike.