The right paths can reduce mud, but they can also retain water. They make access to your growing areas much more enjoyable. What I did was dug 24" deep trenches about 24" across the top on contour with double reach beds in between, then filled those trenches with shredded wood chips.
It was a pleasure to help with the largest hugelkultur bed in Henry County VA (Ridgeway) — quite possibly the largest in all of south central Virginia. At more than 240 feet long this earthworks will hold more than 35,906 gallons of water.