We don't have synonyms for country mile yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are country life, country miles and country wide.
"2000: I liked to imagine that my father had been a pretty fair country ballplayer who didn't pay attention to his batting average but could hit the ball a country mile and run like the wind -- Steve Holt, A Day at the Ballpark (Xlibris 2000, p. 13)"
"2000: I liked to imagine that my father had been a pretty fair country ballplayer who didn't pay attention to his batting average but could hit the ball a country mile and run like the wind -- Steve Holt, A Day at the Ballpark (Xlibris 2000, p. 13)"