Fitz looked that way in Houston, his first year with the Jets and last year after he resigned.
Dude, your point was the QB is the "face of the franchise" - you want some more mock photos of Luck as a civil war soldier who never shaved? (which he refuses to do during the season). He usually doesn't look like he bathes either.
If looks and image but not performance was what was really important, Luck would be on the bench and probably Jimmy Clausen, Colt McCoy or Brady Quinn would be starting in his place. Luck and Fitzpatrick, among others, can get away with looking however they want to look provided they perform on the field. The "he looks like a hippie/bohemian" is a rationalization and is ignored provided they can deliver on game day.