Your Remington 700 is already about as plumb and perpendicular as they can make it. You're going to be dealing with ten thousandths or less. Not worth the effort or expense.
The iron sight dovetailings could be perhaps the same amount right there. Stock inletting is certainly fifty thousandths tolerance, or more. Torqueing the bolts is another tolerance set, and you can change that just by switching out tools and never know it. Taken as a whole, there are lots of tolerance sets that contribute to the base accuracy of the finished rifle.
All this is presuming, of course, that your ammunition is made to even tighter tolerances than your rifle and you can hold, aim, breathe, and squeeze without variation each and every shot in identical conditions of light, humidity, density, and wind speed and direction. Even if so, the moisture content of the stock wood changes over time and you'll be right back where you started.
Don't delude yourself into spending lots of time and expense chasing ten thousandths from one set of tolerances to the next.
The sights are adjustable for a reason.
You can't shoot any better than the factory tolerances, anyway.