When we were there last, the locals said the muleys started rutting earlier, you could possibly catch part of the muley rut that last week before CMR closes. The Chain Buttes and surrounding BMA's are huge, you should easily find a spot there, but some of the smaller BMA's are more popular and will be fully booked out early, if they are call-ahead spots. I found the BLM chunks to be some of the best, most guys do not concentrate their efforts on these and thus they can be really good, if you are persistent. Some of the chunks are small and you just have to catch a deer passing through at the right time, but they do eventually, every small block of BLM I hunted had decent legal bucks on it.