I realize nowadays that there are no airport lockers, otherwise I'd suggest leaving them in there, for pickup on the return trip.
But perhaps there is a hotel, store, or other business that would be willing to hold them for you.
Seems like this is a mental block you need to get over, more than anything else. Bring a couple of clean pairs of socks instead. They are useful as stuff sacks, provide emergency warmth for feet or hands, and keep your bag from stinking up.
Is the additional wear and tear on your body, and increased chance of catastrophic injury really justified by your desire to appear respectable as you hike around some alpine town?
You could try crocs if you just want to get out of you boots. Tell people you're Dutch or something.