In may younger days (an increasingly distant memory) I hunted a lot in the NZ bush.
I carried a nylon tent fly about 8'X10', which rolled up to about the size of a can of Double Brown, my favourite refreshment in those days. It didn't weigh anything, and if pitched with the peak only about 3' off the ground it would withstand quite a storm. You had to pick the spot for it, and use natural shelter features.
It was big enough when pitched low that the wind wouldn't drive the rain under it, and there was room for a pack and rifle.
Seemed like I was wet all the time anyway...
For big camps, we would "borrow" a railway tarpaulin. Two of those would make a heckuva camp for four guys for 3 or 4 weeks in the bush.