According to the Honda Shop Manual of the 350f/400F combined variety...the air screw on the 350F should be at 7/8 turn, +/-3/8 turn. This is comparable to others like it: if you go inward from the 7/8 setting, up to 3/8 turn, it leans out the mix until it reaches about 1/2 turn inward: then it start cutting off the air, too, and the mix can get clumpy and "look" rich in a smog test (too much CO). When the screw is turned outward from the 7/8 setting, up to 3/8 turn, it gets richer until you reach about 1/2 turn out, then it stops lifting fuel and it gets thin and uneven, fouling plugs and again causing too much CO. It's all a little confusing, I know...but suffice to say, stay within the 4/8 to 1-2/8 turn range, or you'll get real mixed up (so to speak

).
This small adjustment range (on all of these types of carbs) is due to the short nature of the vacuum pulse at low engine speeds. The useable range of the screw is limited due to the dynamics of the moving fluid column that is the tiny emulsifier tube of the idle jet. This is why these bikes are all to 'touchy' about the size of the idle jets, with a single-digit number change causing real headaches sometimes!
So, if the mix is still too rich (too much CO) it may be possible to drop down on the idle jet size one step (this is usually a 2 number), to lean it out within the same 7/8 +/-3/8 range. This will also lower CO.