If you are looking to kill mature deer late season you need to focus on low, low pressure tactics. We have seen the same thing through the years with the big deer showing up late season on the cameras. They are certainly attracted to late season plots but the mature bucks aren't coming out during daylight unless they feel like there is no pressure. Otherwise they will be there after dark, regardless of what you plant. Figure out how to make the deer feel this way on your plots late season. At least one or two plots that you feel have the best chance of killing a mature deer. Usually dictated by the ability to get in and out without deer knowing you are there. We have a couple plots that are there specifically to kill a mature buck during the late muzzleloader.
With that being said, figure out what is a decent feed for deer in your area. Sounds like any of the plots you are planting would draw the deer given the deer feel they can feed safely. We plant all the plots you mention. We have had great luck with corn as a late season plot. Problem is you need a lot of acres to have corn left this time of year. It sounds like that will be an issue for you if you go that route due to deer density. My buddy killed a buck 2 days ago that we have been after for three years. He showed up on a turnip plot that is secluded and has had no pressure. 2 other bucks on the plot with him when my buddy pulled the trigger. The corn we have on this property is GONE. Probably 4 acres worth. The deer on this property are hitting the turnips and LC mix plots just fine. I have been pushing to convert more of those acres to turnips as we get the same draw for a lot less work and money. The big deer are certainly drawn to them this time of year.
Given the situation you have described. I would go turnips or the LC mix and work on making the deer feel like there is no pressure. No real other way around it for killing mature deer after a long season