You need a machete (or similar). It's what people who live and work in the jungle use.
I couldn't agree more. I'd rather have a small machete, and no knife, than no machete in the jungle (or swamp or Southern forest or anywhere else overgrown).
I highly recommend TOPS' 0.170 machete. It's small, light, and designed to be used in a variety of grips. The micarta handles are comfortable, and the choil allows for surprisingly detailed work. It's also coated, so only the edge will rust. Also, it's sheath is brilliant, the best nylon machete sheath I've ever seen.
Then you should get one. I suppose if I wanted a Bark River bushcraft knife, Id get one designed for bushcraft...like one in their Bushcraft Series.
I'll second this as well, and would highly recommend OP look at one of their stainless offerings. They just did a run of Aurora LT in Elmax, if you like Bushcrafter style knives.
I'm not sure how stuck the OP is on a "bushcraft" styled knife. If you don't mind a different shape, you can get a Gunny (smaller, thinner, lighter Bravo 1) in Elmax or S35VN. The handles are great for prolonged use (real bushcraft!) and the Gunny does not take up much space at all on a belt. The grip is also more secure than any 'bushcrafter' for use in an emergency.
Were I going to "the Jungle" I would bring a Tops 0.170 and a BRKT Gunny S35VN (in a kydex sheath) and would feel quite prepared.