When one is wade fishing, drainage is irrelevant, because one is, presumably, IN the water, so, there is no NEED for water to drain. Nor is quick drying of any importance.
Comfort and protection is where I live. Chota wading boots with neoprene socks. Somewhat heavy, yes,(so am I though, so it works), but all day comfort and no rocks.
No sandals. Chuck Taylors are more of a lifestyle "statement" than decent wading shoes, and anything with thin and flexible soles will let you feel every rock in the stream.
Cheap shoes will perform like cheap shoes. Pat yourself on the back for your thrift, but your feet will tell a different story.