We encourage you to look into a hotel for the night to ensure adequate safety and comfort. There are two hotels within a couple miles of the airport. Four Points by Sheraton is an option and they offer a free shuttle service to and from the airport. Courtyard by Marriott is also very convenient. It is important to know that during those hours all airport amenities will be closed and the terminal is not patrolled as frequently as it is during flight times.
Im not for sure if it closes but there is a hotel real close to that airport
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