I've used both Chan and AC for shirts.
My chan shirts fit me a lot better than my AC shirts, and so i've stuck with them.
Price wise, i think they are pretty similar (i think Chan may be a touch cheaper on a like-for-like fabric basis). AC defnitely stock fabrics cheaper than the $250 - $300 mentioned above, and both should have fabrics within your price range I think (although they would be at the lower end of their quaity spectrum).
Notwithstanding my experience...