I have a RSI in 7x57mm. The "secret" to shooting this fine little rifle accurately is to allow the barrel to cool down to no more than "warm".
My RSI seems to "love" H4350. Two years ago while working up both "accuracy" loads and "hunting" loads, I found that my rifle liked 47.2 to 47.6 grains of H4350 in Remington cases sparked by a standard Winchester large rifle primer. The bullet was a flat-based,140 grain Sierra ProHunter.
Using 47.2 grains of H4350, I got a 3 shot group of .176 inches at 50 yards and a .179 inch, 3-shot group using 47.6 grains of H4350.
MAXIMUM LOAD in a
MODERN RIFLE is 50.0 grains yielding 50,000 CUP, according to a well-known reloading manual. At 50.0 grains, I got a 3-shot group that measured .404 inches measuring the outer most edges of the bullet holes and subtracting the bullet diameter using a digital caliper for the measurement.
Both recoil and noise were pretty stiff compared to lighter loads, but I believe a woman could handle that recoil without too much trouble. Bullet velocity was close to 2800 fps out of the RSI's 20-inch barrel.
Most hunters who shoot single shot rifles are pretty good shots with their rifles (they HAVE to be!!!)... and the first shot is always from a "cold" barrel... and a 2nd. immediate shot is most often not necessary.
Shooting my RSI one round after another which creates a "hot" barrel, it averages 1½ inches to 2 inches at 100 yards. But shooting a single round at a time and allowing the barrel to cool down to "warm" before shooting another shot will usually give me less than a minute-of-angle, 3-shot group.
As others have said, a "minute-of-deer" is all the accuracy you need in a hunting rifle... and most RSIs can easily accomplish that small feat.
To top it all off, the Ruger#1 International (aka "RSI") with it's Mannlicher-style stock and smooth action is undoubtedly one of the most beautiful rifles anywhere... and they are accurate as well if you just let that short, thin barrel cool down a bit before shooting another round.
I've improved my RSI with a Kepplinger single set trigger... but I can't say that the accuracy has been improved by the new trigger. But, to me... a Mannlicher-stocked rifle isn't "complete" unless it has either a double set trigger or a single set trigger.
Jus' my 2¢...
Strength & Honor...
Ron T.