I would suggest the opposite.
From personal experience I can tell you that if you put the carbon filter first it will plug up prematurely.
8+ years full time I have experienced the nasty hard water full of calcium, iron and sulphur in Northern Arizona to water pumped from a creek in Washington taught me a lot about dealing with water quality issues.
I would suggest that you reach out to Jesse at Waterfixers in Oregon. He is a sharp guy and can point you in the right direction.