I don't have any good stories about a public hunter on a CWMU. But in general, if you are not the big-money-hunter, you will play second-fiddle (or third or fourth, etc.) And if it's a bad year for animals on their property, all the worse for you.
However, if it's a good year for animals, and let's say a couple big-money guys only hunted archery and a few others harvest out on the first and second days, well suddenly, you're huntin with a rifle in a good area, and there isn't anyone else to hunt, so now you get your pick... That's what everyone plays the CWMU lottery for.
I would recommend an LE hunt. All the time you want in the area. Far, far less pressure than any general season unit. And often times, more and better animals than most CWMUs for public hunters.
Good luck no matter what.
"Therefore, wo be unto him that is at ease in Zion!" 2 Ne. 28: 24