Most rifles shoot best if the barrel is free floated...
Has the rifle been bedded yet? Have you ever bedded a rifle?
Optimally, you'd need some inletting black, a barrel sized dowel rod, some fine sandpaper and/or a scraper and begin removing wood at the bottom of the barrel inlet working your way up the sides where you just want to have a hair of clearance...
I'm certain one of the other members here have a link to bedding and free floating a barrel...
Keep us posted on your progress...