Humid hides for beardies aren't unprecedented.
https://www.beardeddragon.org/threads/shedding.249639/#post-1892544
You can find many more discussions in their archives, or post a question about humid hides there.
Beardies do not shed like chameleons—it can take weeks in some cases, and even go back & forth between looking cloudy and then disappearing and then getting cloudy again.. Weekly soaks are good for a number of reasons, but IME, shedding is going to take as long as it takes. The only time I would be concerned is if layers of shed begin to build up.
Contrary to popular opinion, beardies aren't
strictly arid—they're more
semi-arid, and even live in some temperate and tropical zones.
The species’ habitats include temperate to tropical arid to semi-arid woodland, shrubland and hummock grassland (with scattered trees).
https://australian.museum/learn/animals/reptiles/central-bearded-dragon/
If you compare some maps of the range of
Pogona vitticeps with maps of Australia's climate and humidity zones, you'll find that they're pretty hardy, and can do well almost anywhere.
Humidity in their enclosures can be similar to what it is in many/most homes.
Humidity on the cool side will
always be higher than on the warm side—that's how humidity works.
Live plants can enhance a beardie enclosure as well, but be forewarned—they will eat, stomp, tear out by the roots, and otherwise destroy live plants any way they can. It's what they do.
I have many live plants in Stinkeye's enclosure, and yet the heat of his basking bulb can dry things out, so I mist by hand once daily.
Digital hygrometers/thermometers with probes to monitor conditions are better than analog/dial types.
Beardies still require ample ventilation. The reason many restrict it is to hold in temperatures.
Two vents on each side of the enclosure works well—near the bottom on the cool side, and near the top on the warm side. If that doesn't provide enough ventilation via chimney/stack effect, a single thermostatically-controlled muffin fan behind one vent on the warm side will likely do the trick.