I own the 375 Alaskan, great gun, accurate and fun to shoot. The only upgrade I may do is replace the Hogue stock with a McMillan stock. I carry this gun for deer, bear, moose although I don't need the horse power here in Ontario it's fun to carry something a little different. I also had a Rem XCR in 375 H&H liked this gun as well, just not as well built as the Ruger in my opinion, that's why I traded it for the Ruger. Hopefully in the next couple years I would like to do a Yukon Moose hunt and will have the perfect rifle for the job. I know your looking for a LH rifle, but Epp's has a used RH Alaskan for $879 just FYI. Good luck on your search of the perfect 375. Lots of folks on here have some good information.
Scott