From the OP a week later:

Been riding bare-pedal all week now and, although maintaining proper positioning on the pedals requires a little more concentration, I'm still liking it more than riding with my feet strapped into cages. My sneakers are also staying a lot cleaner!

I think some of the people who have commented are misreading my original post. I do not ride "clipless" pedals. I've just shed my clips for plain old flat, plastic "rat trap" pedals.