I just snagged one of the ridiculously cheap fares on LAN to EZE from MEX with connections in LIM/SCL.

My return flight departs EZE at 4:20am.

Having never experienced something like that, I was wondering if anyone had thoughts on what the best plan of action would be.

I'm a bit reluctant to take a hotel for another night as I'd probably check-out around 1am. My usual hotel (InterContinental) generally gives me pretty late check-out (4pm+) so I will probably do that and wander a bit, have a late dinner.

How early should one plan on arriving EZE for such a flight?
Will the LAN lounge be open?

Any suggestions would be much appreciated!