Rem 700 & 22-250
I've owned 7 factroy [stock] Rem-700s during the past 41 years. I've noted that they all will shoot the factory Remington 55-grain KoreLock HPs under one minute of angle. According to my reloading/range books, all 6 of mine have produced .8" or better 5-shot groups. As for hand loads, I have used the following loads with great success: 50gr. Hornady V-Max or Sierra 50gr. Blitz over 34.0 grains of IMR4895 (relcaimed military from Wideners) w/Federal BR210 primers. My other 22-250 load is 52gr. Speer HP over 35.5gr. of H4895 w/Fed BR210 primers. I use Remington brass of the same lot. All cases are trimmed to length, primer pockets squared, and flash-holes deburred. Both of these handloads I've listed will shoot .5" or better in my rifles. I have shot well over 150,000 rounds of 22-250 (ground squirrels, prairie dogs, coyotes, & bobcats) during the last 41 years. That's not a world record but it is enough to get a good idea what works and what doesn't.
As for the rifles . . . I glass-bed the actions and free-float the barrels. If you figure you need competition-edge accuacy then by-all-means feel free to take out a small-home-loan and have a Hart or Krieger (my favorite) barrel fitted to your fine Remington action.
BTW . . . the 52gr. Speer handload was given to me by Rick Jamison [Shooting Times Magazine]. I had the pleasure of having dinner with him at the opening of the Bianchi Western Museum in Temecula, CA (Museum sold to Gene Autry) back in the 70s. Rick said the load [Speer 52/35.5H4895] always worked in his Remingtons . . . his information really helped me, so I hope it helps you.