It depends what you want to do and what you want to spend - AND how important you want the rifle to be to you, in terms of sentimentality, long term.
I will never spend money blueprinting another Remington 700 action. Probably won’t ever spend money blueprinting any more Winchester’s or Mausers either. The price differential vs. a custom action of higher overall quality of manufacturing just isn’t there. A Rem, Win, Ruger, or Mauser has to be completely rebuilt - for about a thousand bucks, or more - to come close to the starting point of custom actions.
I’m happy to rebarrel factory actions which do NOT walk when hot, when I need a low budget hunting rifle which I don’t really expect to fall in love with. I don’t expect custom action performance, but I expect sub-moa groups.
I prefer to start with at LEAST a PT&G 700 action for hunting rifles, but I think today with the Bighorn Origin on the market, I would probably put my bottom tier there. I really prefer to have a Seekins Havak, Stiller Predator, Defiance Deviant, or Surgeon 591 for this, just depends how the budget looks at the time.
For my “I’m gonna shoot this a lot,” or competition rifles, then the application dictates the features of the action. Bat, Kelby’s, Stiller, Savage LRP, Etc....
For a blued and Walnut deer and elk hunting rifle, I would PERSONALLY buy a Surgeon 591, chamber it in 6.5 PRC, stick a 26” Lilja barrel out front have it all mirror polished and deep blued, then have Macon duplicate a McMillan A3 in exhibition grade walnut with an ebony forend cap, with Badger bottom metal and Jewel HVR underneath, and a Nightforce ATACR in Seekins rings up top. I’d be VERY tempted to pay to have the bluing salts hyper concentrated and the action blued separately so it would start out deep black, then turn plum purple over time, leaning the barrel black/blued... guess that’s the old Ruger fan in me coming through... when I build a rifle I want to be a part of my life, not just an acquaintance, I don’t mind spending a little to have it exactly how I want.