Hmmm...I don't want to sound unhelpful, but I don't understand why you would do this? Perhaps you could help educate me on the intended use?
While I think variability charts and control charts work well together, they are used for different purposes. The variability chart is a great way to look at data as it is simply a plot of the data. These are individual data points, not averages. Obvious patterns and even unusual data points can easily be seen.
Shewhart Control charts are meant to do two things:
1. The Range chart answers the question: Is the variability within subgroup stable, consistent?,
2. The X-bar chart answers the question: Which source has greater leverage, the within or the between subgroup
The control limits are a function of the within subgroup variation.
Now I could see possibly using limits based on the Moving Range, but, again those limits are a function of the surrogate subgroup of consecutive data points.
"All models are wrong, some are useful" G.E.P. Box