Its a good question @Puffin. But the answer is loonnggg
probably half the side streams are passable, and more with lots of difficulty
The main rivers,, like waiohine,(except mid waiohine gorge) waingawa, otaki (except lower gorge) are easier (generally). the exception being the Upper Ruamahanga, Tauherenikau (Hells gate up) - off top of my head. some of these involve swimming through gorges still, though.
side streams that would be difficult as an exit, would be likes of Chamberlain creek (Dundas route - impassable without ropes), some sidestreams of mangahao,, south mitre, north mitre, Isobelle - (can be sidled) maungahuka, probably others havnt thought of. Arete stream is actually quite passable, just got know where to bypass steep bits. and get thru the scrub
some of these are more passable in low river levels. or visa versa
Lot of spurs are best route, rather than creeks. eg off main range
The Sutch search in 1933 spent 2 weeks wandering down the waiohine. flooding and the Mid waiohine gorge slowed them down, to. The could have exited from the valley over the tops at Angle Knob or thereabouts, but didn't for some reason. probably their condition.
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