Living in MT, I have hunted rutting mulies for quite a few years with a general tag.
I will say this. If I had to pick, I'd go a little before the peak of the rut, not after. Mulies rut earlier than whitetails, and often there is a misconception that "the later the better" for rutting bucks. I would disagree. I seem to see more big bucks slightly before (the 10th-ish) than closer to the tail end of the hunt. They are ramped up then and out seeking does coming into heat. They may not have their nose stuck to a females backside, but they are moving around. Many times, it seems if you wait until the week of Thanksgiving, the first rut is mostly over and the real big bucks are back to hiding. Once the big 'uns head for their pocket, the little bucks go crazy over what is left, creating the illusion that "the rut is on HARD".
just my two cents.