One thing I learned recently, after talking to a few 1K shooters, was that to be more "consistant" when using a bipod, you need to "pre-load" the legs.
After you get behind the gun and finding your NPOA and a secure, comfortable cheekweld, push foward just a shade while holding your sight picture. From what I was told, this puts a little tension on the bipod legs and thus, a more secure shooting position for the gun.
I have yet to try this on with any heavy recoiling calibers, but with my .243 project gun.... Let's just say IT WORKS!!
It didn't completely eliminate those dang flyers, but my groups were more consistant. I found that the longer the range, the more obvious the results were. It's not a "cure all", and it will not solve any bad habits. What it will do is give you more consistant groups to work with.
YMMV, but it worked for me.