Actually the 77 is a good little shooter. It might however be a bit fickle and need a good tearing down once in a while. Autos get pretty dirty over time. For a non-tinkerer, a 10/22 or better yet a good bolt gun would be the very best.
As far as accuracy, most of the 50's and 60's Winchesters were great shooters and they get shadowed in the cloudy mess of the later guns with less quality. I say go for it!
Larry