That's just what I have to go through on the Ocoee sometimes.
You don't fish whitewater. You just get through it and fish the calm (sort of) water in-between the rapids. It's really great because fish congregate there, and become really concentrated. One of the best places are the eddies at the bottom of rapids. Fish hold there and wait for stuff to get blown through. They run out, grab it, and go back to the eddy to wait for the next course. They are not very selective, because they don't have time to examine anything. They have maybe 3/4 of a second to decide to eat it, or not, before it goes downstream, or another fish gets it. And sounds don't bother them either, because they can't hear anything over the rush of the water anyway.