Quite honestly I like PSA loads better than DPMS and they're alot cheaper.
I voted Ruger Precision but that is a caveat of "after an AR10", that I'll outline below.
Get a pre-build freefloat upper from PSA, then either a reciever and build kit, or a built lower. Watch their sales and you can put one together for $500, or spenjd a bit more and get a premium (FN made CHF barrels) put together for $750-$800.
They're solid guns, and most always shoot well (all the 5.56 AR's I've had are PSA and all shot 1.5" groups, just recently toying with one that seems to do 2.5". but as always. Wolf gold cheapo .223).
If you're wanting accuracy, a FAL is out. They CAN be accurate, they can also be so-so. Almost any AR will well outshoot a FAL, and mag costs are alot higher and harder to find on a FAL (If you're a mag-hoarder like me that is an issue).
I disagree with Kaso on a M1A being "overpriced toy you cannot use". They're relatively accurate (still behind an AR though), they are reliable and have a good enough following there is plenty of aftermarket support.
Both of the FAL and M1A are easy to scope. Are they 1913 picatinny already installed easy? No. But there is high quality scope mounts out there to add, no different than scoping a Winchester M70 or Ruger 77,etc.
A Scar-H? good, not worth the huge $$ output in my opinion.
Savage? Not a bad gun, but if I were to get a bolt gun I like Rugers ability to swap out and change stuff easily, while taking standard Pmags.
I wouldnt do the BLR. ALL the options including the bolt guns have better capacity if you're looking the DMR route.