General consensus is that it is better when you have some flow.
I like to watch the generation schedule and try and go when I can maximize my time with a decent flow. But be aware, below 64 hwy it takes 3 hours to see flow from the time they turn on at Tenkiller dam. But it does not take that long to see a major reduction in flow when they turn off. It is also
fish-able during high wind days since it is so narrow and protected by trees. That gives us a place to fish when it is too windy to get on the main lake or river.
Every couple weeks I get a decent report. But I cannot get a pattern established, the last report I heard they caught a few middle of the day when no water was running.
I have not been since the 11th and have been catfishing Kerr with just enough success to keep going. LOL I wish there were enough stripers in Kerr to be able to locate and fish them every once in awhile. A couple weeks back my buddy caught a nice 20 pound'er out of some stumps on Kerr while catfishing. We always put a few live baits out, especially when in deep water but so far that is only one we have caught.
Another spot close to the Illinois is the Canadian and it produces some good stripers as well, I have not heard any reports out of there in awhile, but it would probably be worth a look. Especially in another month or two when they should start a "false" spawning run up it. (I hear they are not supposed to reproduce but I believe they go through motions, they just may not be very successful) I think I will watch the Texoma reports and when I start seeing suggestion that they believe their fish are spawning I will give the Canadian a try.
I know that was a lot more info than just answering your question. Sorry about that I got to rambling. Just pick a nice day and go for it, my experiences are that the Illinois is a tough fishery but I have had a few good days over there and it offers a bit of variety so I keep going back.