Why not wear them? I find it respectful to dress nicely while traveling. A pair of CL flats or boots, heels if it is a short business flight are all great options. Start your trip off right and look fabulous!
I do wear my Louboutins to the airport.....I have a pair of CL flats that I like to wear. I carry on the rest of my CL's. Although, as soon as I have to take them off and wait for them to come out of the other side of the xray machine, I get really nervous....