Black Kettle def. has birds, but it does get a ton of pressure. The areas around the lake are pretty good, but you might have to hoof it a ways to get away from the folks. Black Kettle isn't like our WMAs, it is made up of a dozen or more smaller tracks that aren't linked together.
If you end up there, take some non-toxic shot as there is at least one large area that you can hunt but can only do so with federally approved non-tox. Last time I was there I didn't know that and for three days I watched a gobbler strut in the same field at the same time everyday. That hurt not being able to chase him!