You can take it as far as you want, you can send it to some gunsmiths that will do any or all of these things:
tune the trigger / replace trigger
bed the stock
cut a new crown
new / better optics,
take a turn off the barrel, re-chamber, new recoil lug,
install new barrel,
true the action,
Are you capable of shooting great groups? Maybe more practice is needed to get to the gun's potential. I have a couple guns that shoot better than I can.
For my 700 PSS guns, I did a bedding job and while it did not shrink the individual group sizes, it did make it more consistent. I also went to better mounts and optics, which did not hurt.