I have a low powered Leupold on my 375 H&H AI.
My 416 Rigby will stay -- iron sights only. Open "V" rear and post front.
My 375 Whelen AI also will stay -- iron sights only. Lyman steel aperture rear and post front.
While not quite a "Big Bore" my light 350 RM Remington 600 recoils like a "Big Bore", I have a 1x4 Weaver on it. That 350 main use is for the woods and a high power scope has no place there, IMHO.
Other heavier kickers all have Leupold VX-2 or VXIII's. After reading MD's stuff, I think I'll be looking for a Fullfield II to try.

I don't think any of these heavier kickers will be shooting at much over 250 yards, probably less than 50 yards, and I'd bet 100 yards max - Perhaps my 375 H&H AI, might go to 200 yards. These limitations are limitations of the mechanism that is pulling the trigger, not the rifles.

I prefer classic.
Semper Fi
I used to run with the hare. Now I'm envious of the tortoise and I do my own stunts but rarely intentionally