Traveller finding method more reasonable, say (8)

I believe the answer is:
wayfarer
'traveller' is the definition.
(I know that wayfarer is a type of traveller)
'method more reasonable say' is the wordplay.
I cannot quite understand how this works, but
'method' could be 'way' (way of doing something) and 'way' is found in the answer.
This explanation may well be incorrect...
'finding' is the link.
Can you help me to learn more?
(Other definitions for wayfarer that I've seen before include "Person who travels on foot" , "Bird of passage" , "One walking" , "One journeying on foot" , "Trekker" .)
