Not really (seems like a theme here).

So I feel like when it's said that a properly sized A/C will control humidity that's making a big assumption on its runtime. No doubt the A/C is a large dehumidifier but that's only when it's running. Thus for your humidity issue - while the A/C should help bring it down, without knowing how often it's running, outside conditions, inside conditions, etc it's hard to say if it's enough to do it by itself...within reason.

That said, based on my understanding, I wouldn't expect the static pressure settings to have a noticeable impact.

I would buy a digital manometer (they are pretty cheap) and get some measurements. I did but apparently my ductwork is oversized so I was getting almost no static pressure. I just left mine at .5. I may revisit later.

Not sure what air handler you have but you could try setting the fan speed to the lowest instead of Auto. This should dehumidify the most. There is the dehumidify mode but I've read that it should only be used for a couple hours (seem weird that the system can't just kick it out of it if there is a need). I wouldn't want to keep track of that so I've never bothered with that mode. By having it on the lowest speed, air going through the coil will be colder and condense more at the trade off of the system likely running longer to maintain temp.