No I don't fly fish out of the kayak. I suppose I could, and it would be a great time, but I'd need a fly rod first.

I've only fly-fished once, in the Madison River in Yellowstone Nat'l Park.
The kayak is an Old Town Otter, with more money spent on accessories than the boat itself! Shock cord rigging for front and back, foot rest pedals inside, seat padding, transport kit, nice paddle, spray skirt...and a little detailing here and there.
I have a custom ruler that I made with a permanent marker on the side too. It measures to 40", and so far the biggest fish I've caught from the kayak was 38" so it's still good. I'm not sure I'd want to catch anything above 40" from a kayak!
I might get a rod holder and paddle holder this season. Or devise my own contraption.
There is whitewater around here, yes. I took the kayak down the Wolf River last summer, which was my first time going through rapids of any sort with the kayak. I'd been rafting many times through fast water though. The Wolf River has the longest continous stretch of whitewater in the state. We went down it when the river was low...from what I saw, I can't imagine what it would be like if the river was a foot higher. Intense for sure! I plan to get into whitewater kayaking in the future. I tried paddling around in my friend's whitewater kayak, but that takes some getting used to. Those boats are so incredibly maneuverable that I nearly tipped myself over when I hit a little current. I've got a lot of experience kayaking too.