I don't really know anything about this, but I'm thinking that the rough and fairway could just stop getting sprayed with pesticides... maybe replace the rough with clover or something that doesn't need maintenance. Clover would get on the fairway, but you could just mow it and it would be the same. The green could easily be astroturf. Water hazards are full of chemicals, but you could totally replace the water hazards with something other than water. Like, just a space that's marked off.