There is public land in those units, check out the KDWPT website. However, you'd do yourself a diservice if you didn't go out there in July/Aug and knock on a few rancher's doors. Those folks in KS are the salt of the earth and I'd bet my last dollar that you could find some very good private ground to hunt on for a few days. Without that option(private) I think it would be very hard to find a good muley. Yeah the public may have some on there, but they will have lots of hunters on it. Also, don't forget what season opens up that first week in November... Pheasant season... Deer will be scattered all over the place after the dogs and guns get out there...
If it were me... It's a no brainer that if the weather is right you could put your tag on a nice 150"-170" whitetail, especially with a rifle... Chances of turning up a 180"-200" muley are just not as good.