A simple solution would to be a Rem 660 in 308. They have a 20" barrel, the contour is fairly stout in comparison to the original 600. They are fast handling and the 660's I have owned all balanced well. All you would have to do is adjust the trigger, put a scope on it and you would be good to go.
Another, perhaps even better, solution would be a Tikka T3X and have the barrel trimmed back to 20".
drover