If you guys are impressed with that, imagine what it would've looked like if AA didn't eliminate the free stopovers at international gateway city
"Hi, I'd like to book a flight from Guayaquil to Kauai"
LOVE IT, just added this to my bucket list
Here's a tip that will help you from personal experience - if you're searching on BA.com and you're not getting any availability, don't automatically assume it doesn't exist. Do a dummy booking on LAN's website and see if it prices out to the lowest mileage level (the equivalent of saver for AA) - I can't promise it will be available to OW airlines, but it has been frequent enough that it's probably worth spending 5 minutes to PUTPAC AA and double-check. Especially so with the more obscure destinations like IPC, PPT, GPS etc.