just wait for a LAN deal...
I flew to Lima on a DCA-JFK-LIM-JFK, and accidentally forgot my last DCA segemtn for 215 last September. I also booked a 259 all in JFK-MIA-LIM-GYE-JFK same day turn and another JFK-LIM-JFK for sub 300. THose last two ticket were booked about 2 months ago... I think I have another $315 DCA-JFK-LIM-JFK-DCA

also in May.
On average from NYC I've been paying sub 300... Also just a few days ago TACA had a sale to LIM that allowed for a free stopover in SJO? (If I'm not mistaken)
LAN gives you 100% credit on AA and IFE is 10x better in Y on the 763s

They also have some cute FAs!