The mainjets should be #75 and pilots #35 - are they? I have yet to see a correct "rebuild kit" for these carbs, from any vendor but Honda.
The air screw is correct at 7/8 turn, but: did you make sure the aeration holes from the bell area of the carbs into the mainjet's emulsifier holes are clear? I have seen them blocked (because they are so small) with aluminum casting dust: this can happen if the bike was run during the era when we had MTBE in the gasolines, which etched the surface of the insides of these carbs. It sometimes takes some extra care to clear those small passages fully, and if you add a bit of oil to the gasoline once in a while it will prevent this from re-occurring.
Also: if someone [before you] has over-tightened the air screws before, this widened the seat for the screw in the carb's body (this happens often with the CB750K0-K6 carbs). This then means the 'correct' setting for the air screw will be closer to 3/4 turn than 7/8 turn.
Don't fall into the internet trap of "open the screws more for leaner mix", as this is exactly backward. These idle-mix screws are adjusting the amount of fuel-air mixture from the pilot jet and its emulsifer for each intake stroke, not the air-fuel mix. The pilot jet's size, plus the tiny holes in its emulsifier tip, are what set the air-fuel ratio - the screw only controls how soon it starts feeding into the intake stream on each intake stroke. The 350F (and its little brother the 250F in Japan) are VERY sensitive to small adjustments here.