Also, a humid environment relies on large amounts of plants. If you have more extreme weather with long periods of drought followed by heavy rain, even if the rain was so heavy that the total longterm rain had increased, you'd have much less forest cover, and less humidity. You'd likely have a semi-arid region instead.
But this is your theory, vs my theory. We can't accurately predict what would become arid vs what would become a lush jungle again. There are some knowns, like we know where all the sinks and former lake beds are in the world, and we know that if there was enough rain those would fill up again.
1. Dead Sea, Jordan/Israel - 414 meters below sea level
The beginning of the Carboniferous generally had a more uniform, tropical, and humid climate than exists today. Seasons if any were indistinct. These observations are based on comparisons between fossil and modern-day plant morphology. The Carboniferous plants resemble those that live in tropical and mildly temperate areas today. Many of them lack growth rings, which suggests a uniform climate. This uniformity in climate may have been the result of the large expanse of ocean that covered the entire surface of the globe, except for a localized section where Pangea, the massive supercontinent that existed during the late Paleozoic and early Triassic, was coming together.
What we do know of these arid regions today is they were once covered with water. The main difference though is as humans, we're the only species smart enough to do things like build storm walls, reservoirs, and flood control measures. It would be interesting if global warming took us to the start of the Carboniferous, where the majority of the planet was warm, humid, and frequently rainy.
These guys are luddites up until the point where technology can make them have strength over other warlords in the region, then it's "Let's get an AI SAM system from China!"
Have you reconsidered a computer career?