How do you handle cuts with too many downed logs?

Fire seems to work well to clean up old hinge cuts...then you just hinge new ones.
I like fire. But a word of warning about fires. It cost me $400 when a burn project relit when I wasn't there and someone called the fire co. Even though it never got off my land, was continuing to do what I wanted to do, and was never closer than two hundred yards to my property line, it was still classified an uncontrolled wildfire because I wasn't there. People are paranoid about burning nowadays.