A verb to mean "go to the end of the road"

Question

I would need a transitive verb which would have "road" or "way" or "path" as the direct object. I want to say that a person walks this road to the end in this context:

This will give them the support and motivation to ______ (meaning follow to the end) the path back to safety.

Does such a verb exist? If a single word is not possible, is there a more idiomatic phrase than follow/go to the end of a road?
Edit 1: I know you can say that you traverse a distance. For example, if you say that you traverse the desert, it means you go from one end to the other end. However, I find it awkward to say traverse a road to mean go all its length.
I need this verb in other contexts as well. It must mean "to go all the length of".
Edit 2: The French have the term "parcourir" which is a transitive verb and means to cover the whole distance of something. But I cannot say "cover a path" in English.

user22542 · Answer

You might consider using "navigate" to illustrate completion of an intentional or necessary path to a desired destination.

This will give them the support and motivation to navigate (meaning
follow to the end) the path of return to safety.

Oxford Learner's Dictionary
TFD - navigate

Tinfoil Hat · Answer

You could try negotiate:

4   to move through, around, or over in a satisfactory
manner: to negotiate a difficult dance step without
tripping: to negotiate sharp curves. Source:
Dictionary.com—negotiate

Like this:

This will give them the support and motivation to negotiate the path of return to safety.

A verb to mean "go to the end of the road"

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