Might as well start with a 'custom' i.e aftermarket action if you are paying to have all those extraneous things done.
Pig in lipstick, turd in glitter etc.
Brian Litz has done studies which show a rifle's
precision increases with weight, which in turn reduces free recoil. Heavy rifle + low recoiling cartridge is why nearly everyone in the Precision Rifle Series uses a 20lb rifle chambered in 6mm something...
As for accuracy, that's a vector of the scope/sighting system, and how it is mounted to the rifle.
We all want the top right target of what is shown below, but 99% of the pictures online of 'rifle accuracy' show the bottom right:
View attachment 303411 reasonably
Personally, top left is fine for an easily portable deer/vermin rifle which does not cost the earth...