Miles one travels across snow, given wrong directions (6)

I believe the answer is:
misled
'given wrong directions' is the definition.
The definition and answer can be both to do with communicating as well as being past participle verbs.
Maybe you can see a link between them that I can't see?
'miles one travels across snow' is the wordplay.
'one travels' indicates an anagram.
'across' means one lot of letters go next to another (across can mean on).
'snow' becomes 'd' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'miles' is an anagram of 'misle'.
'misle'+'d'='MISLED'
Can you help me to learn more?
(Other definitions for misled that I've seen before include "Caused someone to go in the wrong direction" , "Gave false or misleading information to" , "Sent astray or gave wrong impression" , "Given the wrong idea" , "Cause someone to go in the wrong direction" .)
