Savage has a "Gun Finder" where you check boxes for the items you want, and it shows you the models that fit.
http://www.savagearms.com/firearms/finder/
Checking .223, black, accutrigger, accustock, no heavy barrel gets 5 results, only 2 of which are not stainless:
Looks like the options are the 12FCV which appears to have a medium weight barrel:
http://www.savagearms.com/firearms/model/12FCV
and the 11FCNS, which has a sporter weight barrel:
http://www.savagearms.com/firearms/model/11FCNS
If you are primarily shooting at a range from the bench, get the heavier one.