Had to do this during a missed flight connection in September on a NBO-CAI-JFK-SFO flight. The CAI connection was a short 1hr 15 min which I knew was risky but it didn't help that the flight left 2 hours late from NBO. When I arrived they offered a "5 star hotel" which is right near the terminal and I believe is owned by the airline. Anyway, don't expect a 5 star hotel, more like Holiday Inn Express or Motel 6. They were pretty agressive trying to sell a day tour to the pyramids and will not want to take a credit card. They gave any excuse not to take a credit card so I ended up paying cash. They keep your passport at the airport and escort you through immigration and customs.

The tour was OK but the traffic was horrendous. After the pyramid tour they take you to one of their perfume shops, with no obligation to buy but they will certainly throw their pitch at you. We ate dinner at the hotel buffet and it was actually really good. In the morning they took us in a shuttle back to the terminal where we picked up our passports and boarding passes before passing through security and flying back home.