You are going to have a tough time finding a bolt gun in that caliber & twist rate brother.
One of the reasons is that a bolt action barrel is longer than an AR barrel. So to stabilize a bullet in a shorter barrel, you spin the bullet faster, or in a shorter duration of inches in this case.
A bolt action rifle is going to have a 26" barrel, or perhaps a 24" but those are more rare. If you spin the bullet in the same spin rate, you get a bullet that is over spun in the barrel, which makes accuracy more difficult.
This is why you are seeing bolt guns with 1 in 12 barrels, the bullet is still spinning about 2 revolutions in the barrel length.
This doesn't mean you can't shoot the heavier bullets, it just means that you need to tailor your boltgun purchase to the same type of round that you want to shoot in your AR so you can stock one round in your safe.
If you are serious - e-mail this guy:
Brett Evans - He is my Master Gunsmith and he knows more about conventional firearms than anyone I have ever met. He will build you exactly what you are looking for, to your specs, if you are willing to wait the time it will take.