More work for me, but what I do is wear slippahs to the shoe carnival and keep my shoes with fresh socks wrapped up in a plastic bag in my carry-on.

Of course I need to take off the ridiculously thin rubber slippers and walk through barefoot (ugh) but I carry antiseptic wipes and wipe down my feet and slippers before changing into shoes.

It's more work, but I usually get to the airport earlier than I should, so it's not too big of a deal. I just want to avoid walking through the detector in socks then putting dirty socks into my shoes. Yuck!