If you can shoot that tight with a 300WM I doubt you are having flinching issues with a ML for sure!

I was just cautioning that even if the shims do not fix the problem, it does not mean that the other things I suggest including screwing it back factory and sanding the barrel chanel won't help. Everything you change affects the system, the best (but not only) way is to fix one area at a time and test. By shimming you are affecting two things at once (bedding and float), so theoretically even if it shoots bad, the float may have helped but was negated by the shimming.

Good luck, there was a point I was about ready to use my Omega as a target rather than to shoot at them...