On my first African Safari I packed a Pre-64 .300 H&H in a wonderful Bastogne stock. .75" groups with 180gr. TSX's were the norm. It tipped 10.5#, 11 with a sling. That rifle wore me the heck down. I had an aching shoulder 3 days in and a crick in my neck 7 days in.
On my second Safari I packed a Merkel K1 in 7mm Rem Mag. 6.5# scoped with a Leupold FX6x42 with the LR Dot Duplex. .5-.75" groups at 100 yards with 150gr. E-Tips at 3,000 fps, tailored to the dot-drops on the scope. We humped our asses off on that hunt. Up hills, over dales, 10+ miles a day up and down the hills. Granted, I was in better physical shape for that hunt but the truth was that rifle was an absolute DREAM to carry.
My PH (Craig Done) took a shot with that rifle at a rock exactly 500 yards away (Lasered). Of course he dead centered the rock. He looked up at me and stated with a very sly grin "She's a little Bitch!". The recoil was stout to say the least. Accuracy, however, was as good as the shooter.
I love carrying that K1. No Sling needed. Just hand carry it. It's a perfect joy. The real answer is practice practice practice shooting off sticks. Get stable as heck, squeeze. For me, my left hand is the culprit. I have to shoot with the rifle "free" (unsupported) off the sticks. My left hand just dangles there at my waist. That's what works for me...
As an aside, my preferred scoped weight is right at 8#. At 8#, I'm a fair bit more stable. But it all depends on the hunt. If I know I'm going to be humping my butt all over the Karoo, the K1 gets a very, very serious look. If it's a shorter hunt (say, 5 miles a day) then i'm good with the 8# gun.
As an aside, my .375 H&H (Montana 1999, 20" bbl, B&C stock I think, Leupold VX6 1-6x in Talley Lightweights) weighs in at exactly 8# empty. That particular stock fits me so well and sucks up the recoil so nicely that the weight is not even a bother. It's also the ugliest gun I own. Some day it's going on a perfect buffalo hunt.
In other, completely related news: I had a chance to fire my Alaskan PH's NULA .416 Rem-Mag. Something like 6.5# with Irons sights. I was convinced I would be pounded into the ground by that gun. Imagine my surprise that the recoil was shockingly "pleasant". I can't describe it other than being hit by a high speed whiffle ball. I mean, it was a superfast slap...but it wasn't punishing on the bones. It was just fast and over so fast I didn't know it happened. I chalk it up to stock-fit. If the rifle fits, you are good to go!