Hey Rob.
I don't have the answer. I'm a Ruger M77 owner and a Remington m700 owner (both primarily for whitetail deer).
From what I read when I we researching, the M700 and M70 are more easily accurized (look on police and military sniper forums - the folks that need to know about accuracy). The M77 fans say that they are good for what they are used for. The snipers and sharpshooters say they aren't any good for long range accuracy.
I like my M77 because it is lightweight and can carry it over hill and over dale and it weighs nothing. It kills deer just fine. It is also a nice looking gun with beautiful internals. The machine work is amazing compared to my Remington. $65 worth of trigger job (hone the sear I think) and glass bedding from a local smith made it into a nice a gun to shoot. Stock Ruger triggers suck stones (rough as gourd guts as someone said the other day - LOL), that is one thing most people agree on. Bill Ruger is more concerned about lawyers and safety than an optimal hunting rifle or perfect accuracy. 12 pound pull, creep to beat the band. My gun is not inherently accurate due to the spaghetti thin lightweight barrel (think mountain rifle). It heats up and deforms minutely affecting accuracy. It is not a target rifle, but on deer it is fine. My dad has an older m77 with the standard barrel and he doesn't have this issue.
I don't know enough about stock M700 to say. My M700 was modified by the original owner (another locally well known local smith did the work). The trigger was reworked, and it is a dream, breaks like a glass rod, no creep. The barrel was shortened, crowned, and fluted. It sits on a cheap factory composite (plastic) stock with horrible almost non existent bedding. This gun will put little holes on top of each other or side by side all day long, and it doesn't have as much felt recoil. I sat down one day after getting it and put a box of cheap federal shells through it and I was amazed - incredibly accurate. I'm not a target shooter and don't have a range setup so I can't tell you MOA measurements, but I can say it is damn accurate - more than my M77 in controlled conditions. On deer, I don't think it matters - think about the size of the kill zone.
My two "complaints" about the M700 are 1) it doesn't seem to feed as reliably and 2) the trigger parts are stamped and look cheap. Now are stamped parts bad, I doubt it. They probably make manufacturing and parts swapping a dream. I'm sure it contributes to the low cost.
The M700 is my go to gun now. That being said, if I hadn't bought it, the m77 would still be great.
A lot of guys (my dad among them) would rather have a 30-06. It is a very versatile cartridge. Jack O'Conner might argue - LOL.
Sorry, this doesn't answer most of your questions. I guess what I'd say is use your M77 as is, maybe a trigger job or bedding. If you want to get into the accurizing game, pick up a Winchester M70 or a Remington M700. There are lots more options for them.
Charlie