Picked up some National Geographic "Adventure paper" from REI. Printed on an HP 85G OfficeJet with a #45 black cartridge
Printed black monochrome on lightest ink volume mode (1 step lower than Draft)
Looked fine. Printed both sides fine.
As warned on packaging, there was some minor lifting of the ink after immersion in water. I imagine if you printed with normal ink volume it would be much worse Didn't streak, per se, just some came off if you ran your finger over it while wet so I washed the entire surface off and dried and no more lifting.
Unfortunately, for my purposes, while it is a lot more tear resistant than plain old paper, it stretches first, it still isn't very strong with regards pull out and thus isn't suitable for my uses where I need to be able to attach it to things through a hole in the corner with a split ring or piece of braided masonry line. So, just fine if all you need is waterproof paper.
I am supposed to get some Tyvek samples end of next week and will test those.