I have used hammocks for decades (literally) when in warm and tropical environments. I have had several types. There are some military nylon ones, some with integral mosquito nets, but they tend to be on the large side when you are talking about packing size. My favorite is one my kids gave me one birthday by Eagle's Nest Outfitters. It is a modular system, packs small and is very easy to set up. Here is the link to their site:
http://www.eaglesnestoutfittersinc.com/I have used this one and I love it. I have the mosquito net and tarp as well. It is easy to set up with the straps. It tends to be a bit pricey though.
There are some very small, net type hammocks I have used; and they can double as a fishing net if needed. I have not seen them for a number of years and do not know a source for them. The work, but are not as comfortable. If you are sleeping in your clothes, your buttons tend to hang up in the netting.