A rerandomize button is basically impossible. Throw all hopes for that out the window.
That being said, I've had some ideas for the randomness impact idea. One thing is there is a mod setting for the "chaos" level that you can put lower. I can also adjust the absolute mins and maxs (they do already exist, but are pretty "generous" to allow for more silly scenarios). I like to keep possibilities open for chaos but some things may just be too chaotic.
Finally, I have some future plans to combine this mod with a mod that duplicates things. So imagine you have three choices of basic inserters, each with random properties, recipes, etc. Hope that solves some of these issues.