I had a Leupold M8 4x on a 375 H&H Encore barrel for a while. This was just a fun gun, no DG hunting or anything planned for it. I liked that set up quite a bit. It gave enough magnification for shots to 200yds without a problem and it kept the gun under 8#.
I currently have a VX-3 2.5-8x in Warne QR rings on a Ruger Hawkeye Alaskan in 375 Ruger. This is an ideal setup for me. This is an elk rifle, so I'm not worried about having a super low end magnification. For my gun, with my load, set on 8x, the duplex reticle lets me zero at 200 yards and the top of the heavy duplex post is a perfect 300yd zero. That's about the farthest shot I'd ever get in the area I hunt.
But, just as I typed that it occurred to me that this won't work on you 375 without some sort of offset ring setup. The 2.5-8x is not long enough. Either way, it's a great scope.