Odd solution here. Dehumidifer in the bathroom. Yes, it costs more for electricity. Keep the bathroom drier and kicks out some heat which isn't bad in colder months.
Two sets of clothes. Alternate days. So if those wet shoes are starting to get gunky, you just soak them in something like lysol and baking soda and let them dry. The dehumidifier can dry things out that are dripping wet.
Also works for exercise clothes.
What's the advantage? It's easier. You just remove the soaked items and replace them with the used ones. Shoes take a while to dry out, so maybe three pairs instead of one. Increase the drying time. When the clothes or shoes are dirty and used, you soak them in lysol/baking soda. That kills any bacteria that grows. They'll still stink eventually but it keeps that stuff from growing as much if you soak them right after they're used.
That's at home. My workplace is dry too. If it's really raining, I'm wearing casual dress shoes, so an overshoe works better to just keep the shoes dry.