Well, Lloyd, you are either a saddest or a person with refined good taste...
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You know how impressed I am with my old M77RL in .250. A lot of folks who have rifles like mine have the same positive experience.
The 77R in .25-'06 is another that I would say is more likely to be a respectable grouper in out-of-the-box condition. I've seen plenty of them on the firing line, and all I have ever seen being shot grouped at least as well as my M77RL does.
I know it is supposed to be a little tougher to find an M77R in 7 x 57 that is a respectable grouper, but the few I've actually seen in action were M.O.A. or better with handloads. When I was a licensed guide, I had a husband / wife duo from New Hampshire who used to book me for pig hunts every year. He shot a 77RS in 7 X 57 that had no trouble shooting 5 shot groups at 100 yards that measured around the 3/4" mark. His spouse used a M77RSI in 7 x 57 that did likewise. This fellow used a pretty mild handload. from what I recall -kind of a mid-range dose of one of the IMR powders behind flat based Hornady Interlock spire points.
When I was in my early 20's, I used to see a fellow at the range I shot at back then who always seemed to be there when I was. He shot an M77R in 7 x 57 that had no trouble grouping to M.O.A. or better. I seem to recall him complaining that he thought the throat of his rifle was overly long from the factory, and he had to seat his bullets out quite a bit farther for loads shot out of that rifle compared to loads he made up for an old peep-sighted Obrendorf Mauser that he sometimes shot.
Anyhow, I know the M77s (and No.1-A's, too) in 7 x 57 kind of have a "reputation" but the few M77s in 7 x 57 that I actually seen in action impressed me as totally acceptable for any use I'd personally ever put such a rifle to.
You never know, Lloyd.... Yours might be one of the good 'uns!!!!
I need another high-power rifle like I need an extra hole in my head, but if I found a 77R or better yet, a 77RSI in 7 x 57 in high condition at a good price, it might be irresistable to me, too.
Best of luck with yours!
JP