Unfortunately, you won't be able to overnight right in Paducah, KY Airport (PAH-Barkley Regional). However, you're certain to find the perfect place if you look a little further afield.
If you were wanting to stay just minutes from the terminal, you'll have to make other plans. But there's no need to worry. The Econo Lodge is a terrific option that's further out. If you spend a night or two here, make sure you plan out your route to get back to the airport in time.