OP,
I'd suspect that you are steering the reticle to target, as well as using the bipod as a rest rather than a support. Before you jump into the bipod, do this: shoulder the rifle with non firing hand out on the fore-end and elbow almost directly under the fore-end, supporting the position using bone alone. Cognizant of the 5 factors of a steady position, but without looking at the target, or with eyes closed, build the position. Then, upon recognition that the position is relaxed, indicating you have a natural point of aim, open your eyes and adjust NPA to get the desired sight picture. Pull trigger smoothly. I think you will see a better result, as you will have better control over the rifle, as well as less muscle tension. Once you understand how to maximize the bone supported position, realizing support, muscular relaxation, and NPA, the bipod might then become an aid to good shooting. Right now, it is a distraction, having effectively prevented you from understanding the elements of a steady position. You have put the cart before the horse.