I applaud your project with the Hawkeye-No.-1-Hybrid rifle, not to mention the other project of yours in converting a Ruger M77 "Mark I" into a "Mark II" CRF .458 WinMag, WOW !! That will be a remarkable feat for us to try to copy.
You will have no problems reaching your goals with the Ruger No. 1 barrel on the Hawkeye. That Ruger No. 1 barrel will be stiffly accurate ! Sir Bob and I have lots of Ruger No. 1 .458 WM+ load data that might save you some powder and bullets.
My rediscovery of the .458 WinMag Wondergun started with something similar, a CZ 550 Magnum barrel fitted to a Pre-'64 M70 .30-06 action from 1950. The CZ 550 Magnum barrel is whippy by comparison to your barrel. However, accuracy can be tuned into even a whippy barrel. This will be a good chance to show an accuracy node illustration for a .458 rifle ...
... not to mention the pressure ring in diameter changes bouncing back and forth along the barrel from breech to muzzle at +18,000 fps, whatever the speed of sound is in the barrel steel !
Ron aka "Rip" for Riflecrank Internationale Permanente NRA Life Benefactor and Beneficiary .458 Winchester Magnum, Magnanimous in Victory THE WALKING DEAD does so remind me of Democrap voters. Donkeypox.