I'll add some more thoughts on PPT:

Look for a round-trip to PPT from SYD or AKL or somewhere around there. That's one way to reach it, and then you end back up in AKL and finish off your trip to SFO.

Another way is to reconfigure the front end of your trip when you're in south america. take a trip to SCL and then IPC. From IPC, purchase a separate round-trip ticket on LAN from IPC-PPT-IPC. Then, from IPC you return on your *ONE* ticket to SCL and then continue on to Europe.

The second option may be cheaper. I've heard an IPC-PPT-IPC ticket is a lot cheaper than AKL-PPT-AKL; but, you end up wasting a lot of yoru 4 segments allowed in south america to do that, and it also really adds a lot toward your limit of 20.

If you're looking just for some general beach-type destination, consider the Cook Islands (Rarotonga [RAR]). Virgin Blue can get you AKL-RAR-AKL for a little over $500 NZD.