You can stretch the legs a bit on a 375 H&H rifle. I'd opt for something like a Leupold VX3 3.5-10x40. Even though I've had erector failure on one of those, it was one of my favorite scopes. Light weight, bright, clear and good adjustments/tracking until the erector failure. I currently run a Zeiss 3.5-10x44 on my 375 after trying others that I was not happy with. This included the lower powers: VX3 1.5-5, and 4x. I felt very limited with these scopes and would not feel comfortable shooting past 300 yards with these scopes. YMMV though.. I'll admit, my rifle/scope package is heavy, but very manageable and balances perfectly. A little extra weight in a 375 H&H sometimes isn't a bad thing either.. Here's mine with the Conquest 3.5-10x44 that I settled on. Excellent piece of glass so far:

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Originally Posted by raybass
I try to stick with the basics, they do so well. Nothing fancy mind you, just plain jane will get it done with style.
Originally Posted by Pharmseller
You want to see an animal drop right now? Shoot him in the ear hole.

BSA MAGA