Shoes for riding through sprinklers and rain
My commute home from school is very late on some days: between 10:30 PM and midnight. At that time, the city and my apartment complex run sprinklers. I guess both organizations assume that no one will be using the MUP and the resident walk-in path so late, so they allow their sprinkers (the pop-up rotating kind) to freely spray across my path. I have not yet biked in the rain, but the same concern applies.
I don't really mind having my clothes get wet right before I get home, but I do mind getting my shoes wet. Wet shoes encourage growth of microorganisms, and that's something I want to avoid as much as possible. I use foot powder to keep my shoes dry and nice-smelling, rotate footwear to allow it to fully dry from my mild sweating during the day, etc.
My bike has normal pedals with toe clips attached, so I use my regular shoes during my commute. Is it possible to arrange my footwear situation such that I don't have to lug a second pair of shoes around while at school and I can comfortably ride through sprinklers and rain?
I might be looking for the impossible, since I want the ideal shoes to allow my feet to breathe so that sweat can evaporate, and at the same time I don't want these shoes to be affected by rain or to let my socks get wet. What do y'all do to maximize your feet's happiness during commutes?