Welcome to the forum. I don't want to dash your hopes, but you will not find a noveske receiver, upper or lower. They barely do runs of their barrels, that being said I just happened to start a build with their 12.5 Leonidas barrel for an sbr build. I am using a Mega MaTen monolithic matching receiver set, which can use either SR25/DPMS based or Armalite pattern as long as the barrel and bolt match.
So, with this info you can go that route, and use noveske barrel and an Armalite bcg, which rainier arms has in stock(not for long is my guess). They only have 16" barrels in, and while this is good for distances up to 6-800 yards( if you can do your part, no easy task) you said you wanted a precision build. And yes LaRue is Armalite and noveske compatible, but I think that's it. I own an OBR, but would never think of mixing and matching any parts of it, it's just that good.
Now here are my questions for you, please answer as honest as possible so we can all help:
1. What distances are you planning on shooting
2. Is this a paper puncher or do you plan on hunting or doing other things like competition with it
3. There are great selections out there other than noveske, did it have to be them?
4. What is your budget? Realistically a top of the heap .308 ar may run you 2k + not including glass.