10/22 Tapco T6 Help Please

I have a Tapco T6 stocked 10/22 with Tech Sights. When I am shooting on sandbags on the bench at 25 yards, my groups are stringing horizontally- ten shots in about 1 1/2" to over 2" at times, while at other times it groups fairly tight. Then I stood up and pinned the gun against a vertical post near the receiver, only to group much tighter with faster shots and less effort. I put a bipod on and applied forward pressure, then shot a ten shot group that could easily be covered with a quarter. I have had varying results like this since I bought the rifle a year ago. I concluded that the wimpy plastic stock and the wimpy stock barrel are most likely being torqued in some positions, even though when I shoot on bags I apply no downward pressure on the barrel area, other than the weight of the rifle itself.

If I ream out the barrel channel on the Tapco stock so the barrel doesn't touch when torque is applied, should that help increase accuracy? I know people have done this, but I have never heard if it actually helped accuracy. Can it be that simple, or do I have to do a bunch of other crap if I ream it out? I am working on limited resources, so I don't want to modify my stock if it will make things worse to the point where I have to purchase a new stock.

Thank you for your time.

I would like a little input before I go reaming away. I am wondering if no contact with the barrel would be better than stiff, constant contact with the barrel. Is there any reason why 'floating' the barrel in this manner would not be a good idea?