I have a old 788 in 6mm Rem. Its accuracy was so-so after doing a lot of work and trying a lot of different hand-loads. I had the barrel re-crowed(target crowed how ever you say it) and it made a good bit of difference and didn't cost an arm and leg.

Also if you stock is in so-so shape like mine is boyd brothers are offering new laminate stocks for them around $100. Seemed like a very good deal.