Just a thought, but why not use a AMK heatsheet as your plastic sheet?  It's big, fairly rugged, and can double as, of course, shelter.  For collecting rainwater, you could spread it out, pop a small hole in the center, and funnel the water into a container.  It'd be strong enough to not worry too much about the hole extending (some duct tape would help there too)
 
I have a clear plastic sheet because it can be used as a solar still.