You should buy those small carry on suit case or duffel bag and pack it in there. I traveled a lot as a teen and during my first few years of college and i would get things stolen from my luggage all the time especially mac brushes [F the TSA], so my best advice is to carry it on. The only thing i would put in my luggage is maybe fluid things such as fluid foundation, strobe, etc+ and i place it in a zip lock bag and wrap it with one of my shirts
Also you may want to write down a list of all the things that you bring, so when you leave from your vacation you know what your missing from your makeup case. I've lost quite a few things before, dont know why..
I normally take 2 15 pan palettes, 5 face brushes, 6 eye brushes,[I bought a brush roll for this reason] my favorite blushes/MSF, primers, couple of lip products, foundation stuff, eyebrow stuff. 2 months is a pretty long time though.. I normally bring a jansport backpack and put all my makeup in there
Equador sounds like an exciting place to visit! Hope you have great time!!