Burris makes a set of bases that adapts the Ruger mount to the Weaver style base. I use these on my .375 #1 with great results. It also helps with scope placement and eye relief.

Take a look at the Warne permanent mount one rugged set of rings they have recoil lug that fits down into the base kind of a bitch to put on but I like them mine are on a 1v 25-06.w/regards

Eldeguello,
What kinda scope you had the best luck with on your 375H&H?

Frankly, I don't see how any other make of rings could be any stronger than Ruger's all-steel rings. If there is any weakness, it is in the way the clamp screws engage the cuts in the sight base/rib. Any others will have to grasp the base the same way. I have never had anything loosen on a No. 1 scope mount setup, even on a .375 H&H or a heavily-loaded 7-pound .45/70. Some SCOPES have come apart on these guns, but not the mount!!