6.5 Creedmoor can be formed from .308 brass too and the shorter case + longer neck fit better in magazines.
I have had very good results with 140 grain Hornady Amax at 1,000 yards but the newer ELD stuff is probably better.
Comparing box to box, you can't find any ammo in .308 that will hang with 6.5 Creedmoor and the prices are pretty comparable.
If you reload, the price is pretty much the same unless you like to shoot cheap FMJs or pulls.
I don't think it makes sense to build a large frame AR for anything except accuracy and if you want to shoot cheap surplus 7.62x51, you won't be terribly accurate as you eat up the accuracy life of your barrel. It doesn't make sense.
In my opinion, stick with standard pressure bolts unless you want to hand load with small rifle primer brass exclusively. A high pressure bolt might pierce primers on LRP box ammo. You don't need to hot rod 6.5 Creedmoor to get to 1,000 so don't complicate your life.
The standard AR15 accuracy trick works, free float handguards are key. I like the Aero M5E1 enhanced upper/handguard combo, usually in Quantum M-lok because it's cheap. Then get an Aero M5E1 lower and partial LPK to match.
I have a recipe I like to build a ~budget M5E1 with all the little upgrades I want. With some smart shopping and waiting for sales, you can get a whole lot of rifle for under $1,500.