I have three full stock models - a Ruger 77 Mk II International in .308, a Ruger #1 International in 30.06, and a custom 1909 Argentine Mauser done by Walt Sherman in 30.06. The Argentine customization was featured in GUNS magazine in late '93. (not my gun, but Walt's methods for the custom job) My .308 does somewhere between an inch and 1.5"" with Hornady 150 gr. factory ammo and a Leupold 2.5X compact scope and Timney trigger. I don't keep records and don't measure with calipers - those are pretty informal measurements. Maybe when I retire and reload more I can be more precise. The Ruger #1, I have shot very litttle, it must have been under 2" with random 165gr factory ammo or I would have gotten rid of it or fixed it. I have neglected to shoot this gun much - I surely need to retire. My Argentine, though I have shot enough to know it is 1" or less - just as it was guaranteed by Walt when he customized it. (Walt was FLA State Police armorer and built their sniper rifles if I recall. He is renowned for his "roller" action jobs on Colt Pythons as well.) He took the original Arentine stock, cut it down, reshaped and refinished, making the end cap from the bayonet lug. The barrel is not attached at all to the stock, although it is fully bedded the entire stock length. He installed surplus FN '06 barrels, blueprinted the action, Timney trigger, and model 70 safety. He would only work on Argentine milsurps as they are primo quality and smooth as silk.
Having said that, I still think that full stock rifles could have some potential accuracy issues - but I haven't seen any significant problems in my small sampling of three guns.
It is true that one stock is more stabile than another. I had purchased a few Model 70 push feeds in the mid '80s, and two of them had pretty "wild" stocks on them - every other week the stock seemed to be tight against the stock in a different place than the week before. These were supposed to be floasted barrels with bedded recoil lugs. I sent the both back to USRAC and they replaced the stocks with better ones, after which I had no problems. These weren't full stock rifles, but certainly were indicative of ill effects of snaky wood.
I guess where I am headed with this, is if you really like the International Model 77, I'd get one and I believe Ruger would stand by any issues - if there were any. I've had no problems with mine. It is a really fine handling gun, and I really like the classic looks of them.