We get to the airport, wait in more lines and are told that we'll be going to Buenos Aires and probably be put up for the night there if there's no flight available (likely). We spend even more time waiting for the plane (which is late). We're a little grumpy, but mostly happy to be on the move again. We meet a nice couple from the States and bond over our travel woes. On the flight, we make another friend, a Porteña who's also been delayed. The word on the street is that LAN canceled a flight to Ushuaia to free up a plane to Buenos Aires. Awesome thing #2 (for us, the people going to Ushuaia were probably bummed).
At Aeropaeque Jorge Newberry we stagger off the plane, head over to baggage claim and discern from the LAN agent there that we now need to go to check-in and they'll sort things out. Near the head of the line, we eventually get to an agent (none the agents seemed to have been forewarned about our arrival, btw) and after a lot of checking with people over the radio, we get checked into a next day flight to Santiago de Chile. Furthermore, we have a hotel paid for the night and a ride to the hotel and to the airport in the morning. We were worried that it'd be a dump, but it turns out that Hotel Emperador is a swank, five star hotel. Kudos to LAN! This is almost certainly the best airline experience I've ever had. <knocks on wood>. So, here we sit waiting for our flight. On to Chile!