If one of my customer came into my shop looking to build this kind of rifle, this is what I would recommend to them.
First off, you have the perfect action for such a project. I much prefer the ADL stock over the BDL for extreme accuracy work.
I would recommend fully printing the action.
I would also go with Lilja #7 contoured barrel in chrome moly because of your preference for the blued barrel.
Stock wise, I would select two or three different brands and let you decide which you liked best.
On the economical side, yo have the H-S which is a very stable stock when properly set up. I have build several rifles of this design that shot into the 1's and 2's using H-S stocks. They run in the $275-$300 range.
The bad thing with a synthetic stock is that it is not ballanced well for a heavy barreled rifle. It will not set solid in the bags compared to a weighted synthetic or a laminated stock.
My first choice for a laminated stock for any Rem action are Hollands Signature laminated stock. They run in the mid $300 range but are worth every penny in my mind, especially when combined with his pillar bedding system.
THe top of the line would be a balanced McMillan which will run you close to $400 but again they are the top of the line.
Another very important addition would be to fit an aftermarket recoil Lug. I use the Holland Comp Recoil Lugs as they are much thicker and stronger then the factory lug and a must for an extreme accuracy rifle.
As for chambering, The 280 AI is a good one but for whitetail out to 500 yards, my favorite reamer is my 257 STW.
This baby will drive the 100 gr XLC to 4100 fps and is flatter then nearly any other round out to 500 yards with plenty of energy to drop any whitetail at that range and beyond.
Accuracy wise, I do not put a guarantee on my rifles, if they do not shoot 1/2 moa when I range test them they simply do not go out the door. In fact, I would be less then happy if one of my full custom rifles
did not print 1/4 moa groups at the range test.
Price wise, I charge the following for my services:
Action blue-printing $125
Barrel fitting/chambering $125
Holland recoil Lug $30
Trigger job $40
add $40 for pillar bedding
Hope this helps!!
Allen Precision Shooting