I was in the Buda, Texas Cabela's this past saturday. In the "Gun Library" I believe it is called they had behind the locked glass a very nice 416 rem. with a very heavy bull barrel(no taper) maybe 22 inch length. I'm not for sure but I think it may have been a winchester and for I believe about $4,000.00. I guess if big bore rifles make you flinch then this one would be the one for you as it has to be pretty heavy. A good flexing sling would make it carryable.

If it was a Win, then a heavy bull barrel is standard on the safari rifles, i have 2, 375 and 416, both of mine are stainless models.
Nice rifles, mine are early 90's vintage, I also have a 338 on the same action which is mid 00's vintage, chalk and cheese in finish etc, but they all shoot very well.

Cheers.