My howa is still in the game

[Six5x39]

I was able to put some morning range time . Once zeroed , I tested using factory American gunner bulk ammo and hornady SST . It didn't like the sst much . In overall I had slightly better groups with the howa chassis for sure . I did notice the barrel is touching the facotry stock . I used dollar bill and slipped under the barrel but it was getting caught . Do you guys think if I sand em down so barrel isn't touching , maybe It could help with the accuracy ? Thanks