If you do have to stay over - bear in mind that you will not be allowed to stay inside the terminals. They will boot you out when they close.
Agree on all of the above and getting to those hotels that do no thave the Hotel Hoppa is difficult. You have the inestimable advantage of knowing in advance that you might not make the connection!
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"I tell you, we are here on Earth to fart around, and don't let anybody tell you any different." Kurt Vonnegut, Jr.