First, scrub all copper out of that barrel. Get a good copper remover, such as BoreTech Eliminator, and get that barrel squeaky clean. .243 Win tends to copper foul more than lower velocity and larger caliber cartridges, so it's something to keep an eye on. Ruger's barrels are usually a little rough, as well, which increases the rate of fouling.
Clean it.
Shoot it after cleaning, to see if there was improvement.
Then move on to other options, if desired.
I think that Timney trigger will help.
My own M77 Mk II (.270 Win, stainless) was made in 2004. I bought it new.
It was a 1.5-3 MoA rifle in my hands, before the Timney.
After installing a Timney trigger and sear, it suddenly 'became' a sub-MoA rifle, typically showing 3/4" or better for 5-shots at 100 yards in my hands.
(While this rifle shoots better with a
little bit of copper fouling in the bore, it does require regular de-coppering to keep performance from going to crap with a
lot of copper.)
Also be sure to check action screw torque, and make sure the front action screw is not over-tightened. Over-tightening the front screw crushes the stock and makes accuracy go to crap.
As for the barrels...
We were just talking about Ruger M77 Mk II barrels the other day:
FrankenMauser said:
Ruger started making rifle barrels in-house in 1991.
780-prefix 77 Mk IIs [1989-1992] are in the transition period where they could have a Ruger barrel or a contract barrel.
All other 77 Mk IIs and Hawkeyes, as far as Ruger has divulged, will have Ruger barrels.
Basic timeline of Ruger 77 barrels:
Douglas from '67-'73
Wilson from '73-'91 (earned a bad reputation for unpredictability, especially when warm)
Ruger hammer-forged from '91-Current
Other contracts filled in where needed, if Wilson or Douglas couldn't meet demand.