I feel you! I am in Florida, so I'm dealing w/ some of the same issues. Even if I could dig a basement without hitting the water table, anything I would put down their would just be fungus food. Haha.
I am pretty new to this myself, but I've figured out some things I can do here. I started doing some canning w/ a pressure canner. I plan on storing meats, vegetables, broths, fruits, and sauces that way. Storing the cans in my air-conditioned pantry, I don't know that rust will be a problem, but I will look out for it. If you are in the middle of the jungle w/ no climate control I guess that would be a different story.
The other thing I've started doing is a dehydrate-vacuum combo. I dehydrate fruits, veggies, and meats and then vacuum seal them in mason jars (FoodSaver w/ jar attachment). I've only done this a little bit, but no problems so far. I also plan to dehydrate herbs. With the humidity here I did notice that it takes longer for things to completely dry out then what the manual says. It's one of those things you just have to get the hang of from doing it.
I also have a deep freezer because I buy meat in bulk, but I also plan to freeze some fruits, vegetables, and pesto (no such thing as too much pesto!).
While I understand there are a lot of disadvantages to being in the tropics as far as food storage goes, I do see a big advantage for food production. I don't know where you are exactly, but here in Central Florida I can grow some sort of edible plant every day of the year. I don't have to grow ALL of my food during the summer and then preserve it all. In my opinion, food security = food preservation + food production.