So... I finally figured out how I'm getting the segment that I "needed" and in the end I'm going to arrive back in Lima on the very evening of our meet-up (kind of late in the evening)...
Hopefully I'll still make it in time to at least say hello for a bit, but I can't promise anything, sorry! I did have this in mind when planning the trip but this is the way that it worked out in the end :S