I'm not sure specifically as there are many novels that could potentially have 'broken trail' in the title. But usually, there might be a protagonist who is strong - willed. Maybe a lone traveler who is trying to navigate this broken trail, either literally or metaphorically.
Another common type of main character could be a young and naive individual. They are thrust into the situation of the broken trail, and through their experiences on this difficult path, they grow and mature. They might start off being scared and unsure but gradually become more confident and resourceful.
There could be a mentor - like figure. This character might have some knowledge about the broken trail, perhaps having been through a similar situation before. For instance, an old hermit who lives near the path of the broken trail and gives advice to the main character on how to deal with the challenges it presents.