Try an Airport Lounge
You don't have to be a member to seek refuge at an airport lounge. Often outfitted with comfortable lie-flat seats, lounges offer privacy, peace and quiet, and relative security that's hard to come by in the more public areas of an airport. Single-day passes start as low as $20 for independent Airspace Lounges and $29 for airline-affiliated lounges. And if you happen to be flying first or business class, your ticket may even get you in for free.