Fleecing the tourists?
I've never participated in dancing the sun up on Mayday (at about 6am) as many morris teams do, but I doubt if there's many tourists of any description around at that time. Maybe a few bleary-eyed clubbers on the way home, but even that's unlikely in the typical location for a May morning dance out. (e.g. white Rose Morris on the top a a hill in the Pennines at dawn)

Not many morris tunes have the month of May in the title, but it is a tradition associated with that time of year. The Whitsun holiday, at the end of May, in particular, is sometimes considered the official start of the season but of course many start well before that - in fact Angel Morris used to dance out on new year's day, but at the more sensible hour of lunchtime pub opening.

Anahata