Maybe just me, but I'm having a hard time answering your question(s) as they areso braod and you gave so little description of your goals and left out any kind of constraints (like costs, etc.).
So here is my best shot (just trying to help).
Don't waste your time with a stock rifle that compromises your needs. Build what you want/need and have no regrets...
I personally like the Criterion barrels,so that seems a good choice on that particular part. I'd mate it to a Target Action and I think the HS Precision stocks are very nice for F/TR and you have 2 choices of styles. I'm not personally familar with McMillan - but they also seem to get good reviews too.
You said nothing about a scope of bipod (both very important in my opinion), so do budget for a quality scope that meets your criteria, and I'd consider a nice 3rd gen Sinclair bipod (the nice adjustable one).
Good luck, and safe shooting!