On the Ark pretty much everything is class III or easier at these flows except Pine Creek, a couple of moves in the Numbers and a couple of moves in Granite.
Numbers below 5, Fractions, BV town run, Browns, Parkdale, and Royal Gorge are all class III right now.
The Taylor River is another fantastic class III that's dam release also.
Gunny Gorge is at a nice first time level right now, just a bit of an ordeal with a rough 4wd road in, a 1 mile hike down to the river, and a long shuttle. Fun and scenic class III though.